Greatest Common Factor of 8978 and 8984

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 8978, 8984 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8978 and 8984 is 2.

GCF(8978,8984) = 2

GCF of 8978 and 8984

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

GCF of:
and

Greatest Common Factor of 8978 and 8984

GCF of 8978 and 8984 is 2

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

Prime Factorization of 8984


2 8984
2 4492
2 2246
1123 1123
1

Prime factors of 8984 are 2,1123. Prime factorization of 8984 in exponential form is:

8984 = 23×11231

∴ So by taking common prime factors GCF of 8978 and 8984 is 2

Greatest Common Factor of 8978 and 8984 by matching factors method

Factors of 8978

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

1,2,67,134,4489,8978

Factors of 8984

List of positive integer factors of 8984 that divides 8984 without a remainder.

1,2,4,8,1123,2246,4492,8984

Greatest Common Factor

We found the factors and prime factorization of 8978 and 8984. The biggest common factor number is the GCF number.
So the greatest common factor 8978 and 8984 is 2.

Also check out the Least Common Multiple of 8978 and 8984

Properties of GCF 8978 and 8984

(i) The GCF of 8978 and 8984 is associative

GCF of 8978 and 8984 = GCF of 8984 and 8978

Related Greatest Common Factor of 8978

Related Greatest Common Factor of 8984

Frequently Asked Questions on GCF of 8978 and 8984

1. What is the GCF of 8978 and 8984?

Answer: GCF of 8978 and 8984 is 2.

2. 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.

3. What are the Factors of 8984?

Answer: Factors of 8984 are 1, 2, 4, 8, 1123, 2246, 4492, 8984. There are 8 integers that are factors of 8984. The greatest factor of 8984 is 8984.

4. How to Find the GCF of 8978 and 8984?

Answer:

Greatest Common Factor of 8978 and 8984 = 2

Step 1: Find the prime factorization of 8978

8978 = 2 x 67 x 67

Step 2: Find the prime factorization of 8984

8984 = 2 x 2 x 2 x 1123

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 8978 and 8984 is 2