Greatest Common Factor of 978 and 984

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, 984 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 978 and 984 is 6.

GCF(978,984) = 6

GCF of 978 and 984

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

GCF of:
and

Greatest Common Factor of 978 and 984

GCF of 978 and 984 is 6

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 984


2 984
2 492
2 246
3 123
41 41
1

Prime factors of 984 are 2,3,41. Prime factorization of 984 in exponential form is:

984 = 23×31×411

∴ So by taking common prime factors GCF of 978 and 984 is 6

Greatest Common Factor of 978 and 984 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 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors and prime factorization of 978 and 984. The biggest common factor number is the GCF number.
So the greatest common factor 978 and 984 is 6.

Also check out the Least Common Multiple of 978 and 984

Properties of GCF 978 and 984

(i) The GCF of 978 and 984 is associative

GCF of 978 and 984 = GCF of 984 and 978

Related Greatest Common Factor of 978

Related Greatest Common Factor of 984

Frequently Asked Questions on GCF of 978 and 984

1. What is the GCF of 978 and 984?

Answer: GCF of 978 and 984 is 6.

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 984?

Answer: Factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984. There are 16 integers that are factors of 984. The greatest factor of 984 is 984.

4. How to Find the GCF of 978 and 984?

Answer:

Greatest Common Factor of 978 and 984 = 6

Step 1: Find the prime factorization of 978

978 = 2 x 3 x 163

Step 2: Find the prime factorization of 984

984 = 2 x 2 x 2 x 3 x 41

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 978 and 984 is 6