Greatest Common Factor of 8974 and 8978

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, 8978 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8974 and 8978 is 2.

GCF(8974,8978) = 2

GCF of 8974 and 8978

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

GCF of:
and

Greatest Common Factor of 8974 and 8978

GCF of 8974 and 8978 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 8978


2 8978
67 4489
67 67
1

Prime factors of 8978 are 2,67. Prime factorization of 8978 in exponential form is:

8978 = 21×672

∴ So by taking common prime factors GCF of 8974 and 8978 is 2

Greatest Common Factor of 8974 and 8978 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 8978

List of positive integer factors of 8978 that divides 8978 without a remainder.

1,2,67,134,4489,8978

Greatest Common Factor

We found the factors and prime factorization of 8974 and 8978. The biggest common factor number is the GCF number.
So the greatest common factor 8974 and 8978 is 2.

Also check out the Least Common Multiple of 8974 and 8978

Properties of GCF 8974 and 8978

(i) The GCF of 8974 and 8978 is associative

GCF of 8974 and 8978 = GCF of 8978 and 8974

Related Greatest Common Factor of 8974

Related Greatest Common Factor of 8978

Frequently Asked Questions on GCF of 8974 and 8978

1. What is the GCF of 8974 and 8978?

Answer: GCF of 8974 and 8978 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 8978?

Answer: Factors of 8978 are 1, 2, 67, 134, 4489, 8978. There are 6 integers that are factors of 8978. The greatest factor of 8978 is 8978.

4. How to Find the GCF of 8974 and 8978?

Answer:

Greatest Common Factor of 8974 and 8978 = 2

Step 1: Find the prime factorization of 8974

8974 = 2 x 7 x 641

Step 2: Find the prime factorization of 8978

8978 = 2 x 67 x 67

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 8978 is 2