Greatest Common Factor of 2972 and 2978

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, 2978 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2972 and 2978 is 2.

GCF(2972,2978) = 2

GCF of 2972 and 2978

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

GCF of:
and

Greatest Common Factor of 2972 and 2978

GCF of 2972 and 2978 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 2978


2 2978
1489 1489
1

Prime factors of 2978 are 2,1489. Prime factorization of 2978 in exponential form is:

2978 = 21×14891

∴ So by taking common prime factors GCF of 2972 and 2978 is 2

Greatest Common Factor of 2972 and 2978 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 2978

List of positive integer factors of 2978 that divides 2978 without a remainder.

1,2,1489,2978

Greatest Common Factor

We found the factors and prime factorization of 2972 and 2978. The biggest common factor number is the GCF number.
So the greatest common factor 2972 and 2978 is 2.

Also check out the Least Common Multiple of 2972 and 2978

Properties of GCF 2972 and 2978

(i) The GCF of 2972 and 2978 is associative

GCF of 2972 and 2978 = GCF of 2978 and 2972

Related Greatest Common Factor of 2972

Related Greatest Common Factor of 2978

Frequently Asked Questions on GCF of 2972 and 2978

1. What is the GCF of 2972 and 2978?

Answer: GCF of 2972 and 2978 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 2978?

Answer: Factors of 2978 are 1, 2, 1489, 2978. There are 4 integers that are factors of 2978. The greatest factor of 2978 is 2978.

4. How to Find the GCF of 2972 and 2978?

Answer:

Greatest Common Factor of 2972 and 2978 = 2

Step 1: Find the prime factorization of 2972

2972 = 2 x 2 x 743

Step 2: Find the prime factorization of 2978

2978 = 2 x 1489

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 2978 is 2