What is the Greatest Common Factor of 980 and 995?

Greatest common factor (GCF) of 980 and 995 is 5.

GCF(980,995) = 5

We will now calculate the prime factors of 980 and 995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 980 and 995.

How to find the GCF of 980 and 995?

We will first find the prime factorization of 980 and 995. After we will calculate the factors of 980 and 995 and find the biggest common factor number .

Step-1: Prime Factorization of 980

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

980 = 2² × 5¹ × 7²

Step-2: Prime Factorization of 995

Prime factors of 995 are 5, 199. Prime factorization of 995 in exponential form is:

995 = 5¹ × 199¹

Step-3: 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

Step-4: Factors of 995

List of positive integer factors of 995 that divides 980 without a remainder.

1, 5, 199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 980 and 995. The biggest common factor number is the GCF number.
So the greatest common factor 980 and 995 is 5.

Also check out the Least Common Multiple of 980 and 995