Greatest Common Factor of 8967 and 8974

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 8967, 8974 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8967 and 8974 is 7.

GCF(8967,8974) = 7

GCF of 8967 and 8974

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

GCF of:
and

Greatest Common Factor of 8967 and 8974

GCF of 8967 and 8974 is 7

Prime Factorization of 8967


3 8967
7 2989
7 427
61 61
1

Prime factors of 8967 are 3,7,61. Prime factorization of 8967 in exponential form is:

8967 = 31×72×611

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

∴ So by taking common prime factors GCF of 8967 and 8974 is 7

Greatest Common Factor of 8967 and 8974 by matching factors method

Factors of 8967

List of positive integer factors of 8967 that divides 8967 without a remainder.

1,3,7,21,49,61,147,183,427,1281,2989,8967

Factors of 8974

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

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

Greatest Common Factor

We found the factors and prime factorization of 8967 and 8974. The biggest common factor number is the GCF number.
So the greatest common factor 8967 and 8974 is 7.

Also check out the Least Common Multiple of 8967 and 8974

Properties of GCF 8967 and 8974

(i) The GCF of 8967 and 8974 is associative

GCF of 8967 and 8974 = GCF of 8974 and 8967

Related Greatest Common Factor of 8967

Related Greatest Common Factor of 8974

Frequently Asked Questions on GCF of 8967 and 8974

1. What is the GCF of 8967 and 8974?

Answer: GCF of 8967 and 8974 is 7.

2. What are the Factors of 8967?

Answer: Factors of 8967 are 1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967. There are 12 integers that are factors of 8967. The greatest factor of 8967 is 8967.

3. 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.

4. How to Find the GCF of 8967 and 8974?

Answer:

Greatest Common Factor of 8967 and 8974 = 7

Step 1: Find the prime factorization of 8967

8967 = 3 x 7 x 7 x 61

Step 2: Find the prime factorization of 8974

8974 = 2 x 7 x 641

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 8967 and 8974 is 7