Greatest Common Factor of 973 and 980

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 973, 980 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 973 and 980 is 7.

GCF(973,980) = 7

GCF of 973 and 980

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

GCF of:
and

Greatest Common Factor of 973 and 980

GCF of 973 and 980 is 7

Prime Factorization of 973


7 973
139 139
1

Prime factors of 973 are 7,139. Prime factorization of 973 in exponential form is:

973 = 71×1391

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

∴ So by taking common prime factors GCF of 973 and 980 is 7

Greatest Common Factor of 973 and 980 by matching factors method

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

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

Greatest Common Factor

We found the factors and prime factorization of 973 and 980. The biggest common factor number is the GCF number.
So the greatest common factor 973 and 980 is 7.

Also check out the Least Common Multiple of 973 and 980

Properties of GCF 973 and 980

(i) The GCF of 973 and 980 is associative

GCF of 973 and 980 = GCF of 980 and 973

Related Greatest Common Factor of 973

Related Greatest Common Factor of 980

Frequently Asked Questions on GCF of 973 and 980

1. What is the GCF of 973 and 980?

Answer: GCF of 973 and 980 is 7.

2. What are the Factors of 973?

Answer: Factors of 973 are 1, 7, 139, 973. There are 4 integers that are factors of 973. The greatest factor of 973 is 973.

3. 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.

4. How to Find the GCF of 973 and 980?

Answer:

Greatest Common Factor of 973 and 980 = 7

Step 1: Find the prime factorization of 973

973 = 7 x 139

Step 2: Find the prime factorization of 980

980 = 2 x 2 x 5 x 7 x 7

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

GCF = 7

Step 4: Therefore, the greatest common factor of 973 and 980 is 7