What is the Greatest Common Factor of 4975 and 4987?

Greatest common factor (GCF) of 4975 and 4987 is 1.

GCF(4975,4987) = 1

We will now calculate the prime factors of 4975 and 4987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4975 and 4987.

How to find the GCF of 4975 and 4987?

We will first find the prime factorization of 4975 and 4987. After we will calculate the factors of 4975 and 4987 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 4987

Prime factors of 4987 are 4987. Prime factorization of 4987 in exponential form is:

4987 = 4987¹

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 4987

List of positive integer factors of 4987 that divides 4975 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4975 and 4987. The biggest common factor number is the GCF number.
So the greatest common factor 4975 and 4987 is 1.

Also check out the Least Common Multiple of 4975 and 4987