Greatest Common Factor of 980 and 986

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 980, 986 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 980 and 986 is 2.

GCF(980,986) = 2

GCF of 980 and 986

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

GCF of:
and

Greatest Common Factor of 980 and 986

GCF of 980 and 986 is 2

Prime Factorization of 980


2 980
2 490
5 245
7 49
7 7
1

Prime factors of 980 are 2,5,7. Prime factorization of 980 in exponential form is:

980 = 22×51×72

Prime Factorization of 986


2 986
17 493
29 29
1

Prime factors of 986 are 2,17,29. Prime factorization of 986 in exponential form is:

986 = 21×171×291

∴ So by taking common prime factors GCF of 980 and 986 is 2

Greatest Common Factor of 980 and 986 by matching factors method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors and prime factorization of 980 and 986. The biggest common factor number is the GCF number.
So the greatest common factor 980 and 986 is 2.

Also check out the Least Common Multiple of 980 and 986

Properties of GCF 980 and 986

(i) The GCF of 980 and 986 is associative

GCF of 980 and 986 = GCF of 986 and 980

Related Greatest Common Factor of 980

Related Greatest Common Factor of 986

Frequently Asked Questions on GCF of 980 and 986

1. What is the GCF of 980 and 986?

Answer: GCF of 980 and 986 is 2.

2. What are the Factors of 980?

Answer: Factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980. There are 18 integers that are factors of 980. The greatest factor of 980 is 980.

3. What are the Factors of 986?

Answer: Factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986. There are 8 integers that are factors of 986. The greatest factor of 986 is 986.

4. How to Find the GCF of 980 and 986?

Answer:

Greatest Common Factor of 980 and 986 = 2

Step 1: Find the prime factorization of 980

980 = 2 x 2 x 5 x 7 x 7

Step 2: Find the prime factorization of 986

986 = 2 x 17 x 29

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 980 and 986 is 2