Greatest Common Factor of 9974 and 9980

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 9974, 9980 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9974 and 9980 is 2.

GCF(9974,9980) = 2

GCF of 9974 and 9980

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

GCF of:
and

Greatest Common Factor of 9974 and 9980

GCF of 9974 and 9980 is 2

Prime Factorization of 9974


2 9974
4987 4987
1

Prime factors of 9974 are 2,4987. Prime factorization of 9974 in exponential form is:

9974 = 21×49871

Prime Factorization of 9980


2 9980
2 4990
5 2495
499 499
1

Prime factors of 9980 are 2,5,499. Prime factorization of 9980 in exponential form is:

9980 = 22×51×4991

∴ So by taking common prime factors GCF of 9974 and 9980 is 2

Greatest Common Factor of 9974 and 9980 by matching factors method

Factors of 9974

List of positive integer factors of 9974 that divides 9974 without a remainder.

1,2,4987,9974

Factors of 9980

List of positive integer factors of 9980 that divides 9980 without a remainder.

1,2,4,5,10,20,499,998,1996,2495,4990,9980

Greatest Common Factor

We found the factors and prime factorization of 9974 and 9980. The biggest common factor number is the GCF number.
So the greatest common factor 9974 and 9980 is 2.

Also check out the Least Common Multiple of 9974 and 9980

Properties of GCF 9974 and 9980

(i) The GCF of 9974 and 9980 is associative

GCF of 9974 and 9980 = GCF of 9980 and 9974

Related Greatest Common Factor of 9974

Related Greatest Common Factor of 9980

Frequently Asked Questions on GCF of 9974 and 9980

1. What is the GCF of 9974 and 9980?

Answer: GCF of 9974 and 9980 is 2.

2. What are the Factors of 9974?

Answer: Factors of 9974 are 1, 2, 4987, 9974. There are 4 integers that are factors of 9974. The greatest factor of 9974 is 9974.

3. What are the Factors of 9980?

Answer: Factors of 9980 are 1, 2, 4, 5, 10, 20, 499, 998, 1996, 2495, 4990, 9980. There are 12 integers that are factors of 9980. The greatest factor of 9980 is 9980.

4. How to Find the GCF of 9974 and 9980?

Answer:

Greatest Common Factor of 9974 and 9980 = 2

Step 1: Find the prime factorization of 9974

9974 = 2 x 4987

Step 2: Find the prime factorization of 9980

9980 = 2 x 2 x 5 x 499

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 9974 and 9980 is 2