What is the greatest common factor of 60, 90, and 120?

The GCF of 60,90,and 120 is 30.

Answered by Bookbird | 2024-06-10

The **greatest common factor **of 60, 90, 120 is 30.
What is Greatest Common Factor?
The **largest number **among all the common **factors **of the given numbers is known as the GCF (Greatest Common Factor) of two or more numbers. The **greatest integer **that may be used to divide two **natural numbers **x and y without producing any remainders is called their GCF. There are three main methods for calculating GCF: division, multiplication, and prime factorization.
Given:
60,90, and 120
We will perform the Prime Factorization
60 = 2 x 2 x 3 x 5
90 = 2 x 3 x 3 x 5
120= 2x 2x 2x 3 x 5
So, GCF(60, 90, 120)= 2 x 3 x 5 = 30
Hence, the greatest common factor of 60, 90, 120 is 30.
Learn more about **GCF **here:
https://brainly.com/question/11444998
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Answered by sheenuvt12 | 2024-06-24

The greatest common factor of 60, 90, and 120 is 30. This is found by determining the prime factorizations of each number and identifying the common factors. The GCF is calculated by multiplying the lowest powers of the common prime factors, resulting in 30.
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Answered by sheenuvt12 | 2024-09-04