Greatest Common Factor of 8978 and 8983

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, 8983 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8978 and 8983 is 1.

GCF(8978,8983) = 1

GCF of 8978 and 8983

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

GCF of:
and

Greatest Common Factor of 8978 and 8983

GCF of 8978 and 8983 is 1

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 8983


13 8983
691 691
1

Prime factors of 8983 are 13,691. Prime factorization of 8983 in exponential form is:

8983 = 131×6911

∴ So by taking common prime factors GCF of 8978 and 8983 is 1

Greatest Common Factor of 8978 and 8983 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 8983

List of positive integer factors of 8983 that divides 8983 without a remainder.

1,13,691,8983

Greatest Common Factor

We found the factors and prime factorization of 8978 and 8983. The biggest common factor number is the GCF number.
So the greatest common factor 8978 and 8983 is 1.

Also check out the Least Common Multiple of 8978 and 8983

Properties of GCF 8978 and 8983

(i) The GCF of 8978 and 8983 is associative

GCF of 8978 and 8983 = GCF of 8983 and 8978

Related Greatest Common Factor of 8978

Related Greatest Common Factor of 8983

Frequently Asked Questions on GCF of 8978 and 8983

1. What is the GCF of 8978 and 8983?

Answer: GCF of 8978 and 8983 is 1.

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 8983?

Answer: Factors of 8983 are 1, 13, 691, 8983. There are 4 integers that are factors of 8983. The greatest factor of 8983 is 8983.

4. How to Find the GCF of 8978 and 8983?

Answer:

Greatest Common Factor of 8978 and 8983 = 1

Step 1: Find the prime factorization of 8978

8978 = 2 x 67 x 67

Step 2: Find the prime factorization of 8983

8983 = 13 x 691

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 8978 and 8983 is 1