Greatest Common Factor of 978 and 979

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 978, 979 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 978 and 979 is 1.

GCF(978,979) = 1

GCF of 978 and 979

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

GCF of:
and

Greatest Common Factor of 978 and 979

GCF of 978 and 979 is 1

Prime Factorization of 978


2 978
3 489
163 163
1

Prime factors of 978 are 2,3,163. Prime factorization of 978 in exponential form is:

978 = 21×31×1631

Prime Factorization of 979


11 979
89 89
1

Prime factors of 979 are 11,89. Prime factorization of 979 in exponential form is:

979 = 111×891

∴ So by taking common prime factors GCF of 978 and 979 is 1

Greatest Common Factor of 978 and 979 by matching factors method

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Greatest Common Factor

We found the factors and prime factorization of 978 and 979. The biggest common factor number is the GCF number.
So the greatest common factor 978 and 979 is 1.

Also check out the Least Common Multiple of 978 and 979

Properties of GCF 978 and 979

(i) The GCF of 978 and 979 is associative

GCF of 978 and 979 = GCF of 979 and 978

Related Greatest Common Factor of 978

Related Greatest Common Factor of 979

Frequently Asked Questions on GCF of 978 and 979

1. What is the GCF of 978 and 979?

Answer: GCF of 978 and 979 is 1.

2. What are the Factors of 978?

Answer: Factors of 978 are 1, 2, 3, 6, 163, 326, 489, 978. There are 8 integers that are factors of 978. The greatest factor of 978 is 978.

3. What are the Factors of 979?

Answer: Factors of 979 are 1, 11, 89, 979. There are 4 integers that are factors of 979. The greatest factor of 979 is 979.

4. How to Find the GCF of 978 and 979?

Answer:

Greatest Common Factor of 978 and 979 = 1

Step 1: Find the prime factorization of 978

978 = 2 x 3 x 163

Step 2: Find the prime factorization of 979

979 = 11 x 89

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 978 and 979 is 1