Greatest Common Factor of 980 and 985

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, 985 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 980 and 985 is 5.

GCF(980,985) = 5

GCF of 980 and 985

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

GCF of:
and

Greatest Common Factor of 980 and 985

GCF of 980 and 985 is 5

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 985


5 985
197 197
1

Prime factors of 985 are 5,197. Prime factorization of 985 in exponential form is:

985 = 51×1971

∴ So by taking common prime factors GCF of 980 and 985 is 5

Greatest Common Factor of 980 and 985 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 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Greatest Common Factor

We found the factors and prime factorization of 980 and 985. The biggest common factor number is the GCF number.
So the greatest common factor 980 and 985 is 5.

Also check out the Least Common Multiple of 980 and 985

Properties of GCF 980 and 985

(i) The GCF of 980 and 985 is associative

GCF of 980 and 985 = GCF of 985 and 980

Related Greatest Common Factor of 980

Related Greatest Common Factor of 985

Frequently Asked Questions on GCF of 980 and 985

1. What is the GCF of 980 and 985?

Answer: GCF of 980 and 985 is 5.

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 985?

Answer: Factors of 985 are 1, 5, 197, 985. There are 4 integers that are factors of 985. The greatest factor of 985 is 985.

4. How to Find the GCF of 980 and 985?

Answer:

Greatest Common Factor of 980 and 985 = 5

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 985

985 = 5 x 197

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

GCF = 5

Step 4: Therefore, the greatest common factor of 980 and 985 is 5