Greatest Common Factor of 8971 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 8971, 8974 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8971 and 8974 is 1.

GCF(8971,8974) = 1

GCF of 8971 and 8974

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

GCF of:
and

Greatest Common Factor of 8971 and 8974

GCF of 8971 and 8974 is 1

Prime Factorization of 8971


8971 8971
1

Prime factors of 8971 are 8971. Prime factorization of 8971 in exponential form is:

8971 = 89711

Prime Factorization of 8974


2 8974
7 4487
641 641
1

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

8974 = 21×71×6411

∴ So by taking common prime factors GCF of 8971 and 8974 is 1

Greatest Common Factor of 8971 and 8974 by matching factors method

Factors of 8971

List of positive integer factors of 8971 that divides 8971 without a remainder.

1,8971

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 8971 and 8974. The biggest common factor number is the GCF number.
So the greatest common factor 8971 and 8974 is 1.

Also check out the Least Common Multiple of 8971 and 8974

Properties of GCF 8971 and 8974

(i) The GCF of 8971 and 8974 is associative

GCF of 8971 and 8974 = GCF of 8974 and 8971

Related Greatest Common Factor of 8971

Related Greatest Common Factor of 8974

Frequently Asked Questions on GCF of 8971 and 8974

1. What is the GCF of 8971 and 8974?

Answer: GCF of 8971 and 8974 is 1.

2. What are the Factors of 8971?

Answer: Factors of 8971 are 1, 8971. There are 2 integers that are factors of 8971. The greatest factor of 8971 is 8971.

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 8971 and 8974?

Answer:

Greatest Common Factor of 8971 and 8974 = 1

Step 1: Find the prime factorization of 8971

8971 = 8971

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 = = 1

Step 4: Therefore, the greatest common factor of 8971 and 8974 is 1