Greatest Common Factor of 8974 and 8982

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 8974, 8982 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8974 and 8982 is 2.

GCF(8974,8982) = 2

GCF of 8974 and 8982

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

GCF of:
and

Greatest Common Factor of 8974 and 8982

GCF of 8974 and 8982 is 2

Prime Factorization of 8974


2 8974
7 4487
641 641
1

Prime factors of 8974 are 2,7,641. Prime factorization of 8974 in exponential form is:

8974 = 21×71×6411

Prime Factorization of 8982


2 8982
3 4491
3 1497
499 499
1

Prime factors of 8982 are 2,3,499. Prime factorization of 8982 in exponential form is:

8982 = 21×32×4991

∴ So by taking common prime factors GCF of 8974 and 8982 is 2

Greatest Common Factor of 8974 and 8982 by matching factors method

Factors of 8974

List of positive integer factors of 8974 that divides 8974 without a remainder.

1,2,7,14,641,1282,4487,8974

Factors of 8982

List of positive integer factors of 8982 that divides 8982 without a remainder.

1,2,3,6,9,18,499,998,1497,2994,4491,8982

Greatest Common Factor

We found the factors and prime factorization of 8974 and 8982. The biggest common factor number is the GCF number.
So the greatest common factor 8974 and 8982 is 2.

Also check out the Least Common Multiple of 8974 and 8982

Properties of GCF 8974 and 8982

(i) The GCF of 8974 and 8982 is associative

GCF of 8974 and 8982 = GCF of 8982 and 8974

Related Greatest Common Factor of 8974

Related Greatest Common Factor of 8982

Frequently Asked Questions on GCF of 8974 and 8982

1. What is the GCF of 8974 and 8982?

Answer: GCF of 8974 and 8982 is 2.

2. What are the Factors of 8974?

Answer: Factors of 8974 are 1, 2, 7, 14, 641, 1282, 4487, 8974. There are 8 integers that are factors of 8974. The greatest factor of 8974 is 8974.

3. What are the Factors of 8982?

Answer: Factors of 8982 are 1, 2, 3, 6, 9, 18, 499, 998, 1497, 2994, 4491, 8982. There are 12 integers that are factors of 8982. The greatest factor of 8982 is 8982.

4. How to Find the GCF of 8974 and 8982?

Answer:

Greatest Common Factor of 8974 and 8982 = 2

Step 1: Find the prime factorization of 8974

8974 = 2 x 7 x 641

Step 2: Find the prime factorization of 8982

8982 = 2 x 3 x 3 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 8974 and 8982 is 2