Greatest Common Factor of 2972 and 2974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2972, 2974 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2972 and 2974 is 2.

GCF(2972,2974) = 2

GCF of 2972 and 2974

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 2972 and 2974

GCF of 2972 and 2974 is 2

Prime Factorization of 2972


2 2972
2 1486
743 743
1

Prime factors of 2972 are 2,743. Prime factorization of 2972 in exponential form is:

2972 = 22×7431

Prime Factorization of 2974


2 2974
1487 1487
1

Prime factors of 2974 are 2,1487. Prime factorization of 2974 in exponential form is:

2974 = 21×14871

∴ So by taking common prime factors GCF of 2972 and 2974 is 2

Greatest Common Factor of 2972 and 2974 by matching factors method

Factors of 2972

List of positive integer factors of 2972 that divides 2972 without a remainder.

1,2,4,743,1486,2972

Factors of 2974

List of positive integer factors of 2974 that divides 2974 without a remainder.

1,2,1487,2974

Greatest Common Factor

We found the factors and prime factorization of 2972 and 2974. The biggest common factor number is the GCF number.
So the greatest common factor 2972 and 2974 is 2.

Also check out the Least Common Multiple of 2972 and 2974

Properties of GCF 2972 and 2974

(i) The GCF of 2972 and 2974 is associative

GCF of 2972 and 2974 = GCF of 2974 and 2972

Related Greatest Common Factor of 2972

Related Greatest Common Factor of 2974

Frequently Asked Questions on GCF of 2972 and 2974

1. What is the GCF of 2972 and 2974?

Answer: GCF of 2972 and 2974 is 2.

2. What are the Factors of 2972?

Answer: Factors of 2972 are 1, 2, 4, 743, 1486, 2972. There are 6 integers that are factors of 2972. The greatest factor of 2972 is 2972.

3. What are the Factors of 2974?

Answer: Factors of 2974 are 1, 2, 1487, 2974. There are 4 integers that are factors of 2974. The greatest factor of 2974 is 2974.

4. How to Find the GCF of 2972 and 2974?

Answer:

Greatest Common Factor of 2972 and 2974 = 2

Step 1: Find the prime factorization of 2972

2972 = 2 x 2 x 743

Step 2: Find the prime factorization of 2974

2974 = 2 x 1487

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 2972 and 2974 is 2