What is the Greatest Common Factor of 4975 and 4980?

Greatest common factor (GCF) of 4975 and 4980 is 5.

GCF(4975,4980) = 5

We will now calculate the prime factors of 4975 and 4980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4975 and 4980.

How to find the GCF of 4975 and 4980?

We will first find the prime factorization of 4975 and 4980. After we will calculate the factors of 4975 and 4980 and find the biggest common factor number .

Step-1: Prime Factorization of 4975

Prime factors of 4975 are 5, 199. Prime factorization of 4975 in exponential form is:

4975 = 5² × 199¹

Step-2: Prime Factorization of 4980

Prime factors of 4980 are 2, 3, 5, 83. Prime factorization of 4980 in exponential form is:

4980 = 2² × 3¹ × 5¹ × 83¹

Step-3: Factors of 4975

List of positive integer factors of 4975 that divides 4975 without a remainder.

1, 5, 25, 199, 995

Step-4: Factors of 4980

List of positive integer factors of 4980 that divides 4975 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4975 and 4980. The biggest common factor number is the GCF number.
So the greatest common factor 4975 and 4980 is 5.

Also check out the Least Common Multiple of 4975 and 4980