Greatest Common Factor of 980 and 983

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

Greatest common factor (GCF) of 980 and 983 is 1.

GCF(980,983) = 1

GCF of 980 and 983

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

GCF of:
and

Greatest Common Factor of 980 and 983

GCF of 980 and 983 is 1

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 983


983 983
1

Prime factors of 983 are 983. Prime factorization of 983 in exponential form is:

983 = 9831

∴ So by taking common prime factors GCF of 980 and 983 is 1

Greatest Common Factor of 980 and 983 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 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors and prime factorization of 980 and 983. The biggest common factor number is the GCF number.
So the greatest common factor 980 and 983 is 1.

Also check out the Least Common Multiple of 980 and 983

Properties of GCF 980 and 983

(i) The GCF of 980 and 983 is associative

GCF of 980 and 983 = GCF of 983 and 980

Related Greatest Common Factor of 980

Related Greatest Common Factor of 983

Frequently Asked Questions on GCF of 980 and 983

1. What is the GCF of 980 and 983?

Answer: GCF of 980 and 983 is 1.

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 983?

Answer: Factors of 983 are 1, 983. There are 2 integers that are factors of 983. The greatest factor of 983 is 983.

4. How to Find the GCF of 980 and 983?

Answer:

Greatest Common Factor of 980 and 983 = 1

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 983

983 = 983

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 980 and 983 is 1