Greatest Common Factor of 2974 and 2980

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 2974, 2980 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2974 and 2980 is 2.

GCF(2974,2980) = 2

GCF of 2974 and 2980

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

GCF of:
and

Greatest Common Factor of 2974 and 2980

GCF of 2974 and 2980 is 2

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

Prime Factorization of 2980


2 2980
2 1490
5 745
149 149
1

Prime factors of 2980 are 2,5,149. Prime factorization of 2980 in exponential form is:

2980 = 22×51×1491

∴ So by taking common prime factors GCF of 2974 and 2980 is 2

Greatest Common Factor of 2974 and 2980 by matching factors method

Factors of 2974

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

1,2,1487,2974

Factors of 2980

List of positive integer factors of 2980 that divides 2980 without a remainder.

1,2,4,5,10,20,149,298,596,745,1490,2980

Greatest Common Factor

We found the factors and prime factorization of 2974 and 2980. The biggest common factor number is the GCF number.
So the greatest common factor 2974 and 2980 is 2.

Also check out the Least Common Multiple of 2974 and 2980

Properties of GCF 2974 and 2980

(i) The GCF of 2974 and 2980 is associative

GCF of 2974 and 2980 = GCF of 2980 and 2974

Related Greatest Common Factor of 2974

Related Greatest Common Factor of 2980

Frequently Asked Questions on GCF of 2974 and 2980

1. What is the GCF of 2974 and 2980?

Answer: GCF of 2974 and 2980 is 2.

2. 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.

3. What are the Factors of 2980?

Answer: Factors of 2980 are 1, 2, 4, 5, 10, 20, 149, 298, 596, 745, 1490, 2980. There are 12 integers that are factors of 2980. The greatest factor of 2980 is 2980.

4. How to Find the GCF of 2974 and 2980?

Answer:

Greatest Common Factor of 2974 and 2980 = 2

Step 1: Find the prime factorization of 2974

2974 = 2 x 1487

Step 2: Find the prime factorization of 2980

2980 = 2 x 2 x 5 x 149

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 2974 and 2980 is 2