Greatest Common Factor of 8974 and 8981

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, 8981 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8974 and 8981 is 7.

GCF(8974,8981) = 7

GCF of 8974 and 8981

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

GCF of:
and

Greatest Common Factor of 8974 and 8981

GCF of 8974 and 8981 is 7

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 8981


7 8981
1283 1283
1

Prime factors of 8981 are 7,1283. Prime factorization of 8981 in exponential form is:

8981 = 71×12831

∴ So by taking common prime factors GCF of 8974 and 8981 is 7

Greatest Common Factor of 8974 and 8981 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 8981

List of positive integer factors of 8981 that divides 8981 without a remainder.

1,7,1283,8981

Greatest Common Factor

We found the factors and prime factorization of 8974 and 8981. The biggest common factor number is the GCF number.
So the greatest common factor 8974 and 8981 is 7.

Also check out the Least Common Multiple of 8974 and 8981

Properties of GCF 8974 and 8981

(i) The GCF of 8974 and 8981 is associative

GCF of 8974 and 8981 = GCF of 8981 and 8974

Related Greatest Common Factor of 8974

Related Greatest Common Factor of 8981

Frequently Asked Questions on GCF of 8974 and 8981

1. What is the GCF of 8974 and 8981?

Answer: GCF of 8974 and 8981 is 7.

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 8981?

Answer: Factors of 8981 are 1, 7, 1283, 8981. There are 4 integers that are factors of 8981. The greatest factor of 8981 is 8981.

4. How to Find the GCF of 8974 and 8981?

Answer:

Greatest Common Factor of 8974 and 8981 = 7

Step 1: Find the prime factorization of 8974

8974 = 2 x 7 x 641

Step 2: Find the prime factorization of 8981

8981 = 7 x 1283

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

GCF = 7

Step 4: Therefore, the greatest common factor of 8974 and 8981 is 7