What is the Greatest Common Factor of 98977 and 98987?

Greatest common factor (GCF) of 98977 and 98987 is 1.

GCF(98977,98987) = 1

We will now calculate the prime factors of 98977 and 98987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98977 and 98987.

How to find the GCF of 98977 and 98987?

We will first find the prime factorization of 98977 and 98987. After we will calculate the factors of 98977 and 98987 and find the biggest common factor number .

Step-1: Prime Factorization of 98977

Prime factors of 98977 are 29, 3413. Prime factorization of 98977 in exponential form is:

98977 = 29¹ × 3413¹

Step-2: Prime Factorization of 98987

Prime factors of 98987 are 7, 79, 179. Prime factorization of 98987 in exponential form is:

98987 = 7¹ × 79¹ × 179¹

Step-3: Factors of 98977

List of positive integer factors of 98977 that divides 98977 without a remainder.

1, 29, 3413

Step-4: Factors of 98987

List of positive integer factors of 98987 that divides 98977 without a remainder.

1, 7, 79, 179, 553, 1253, 14141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98977 and 98987. The biggest common factor number is the GCF number.
So the greatest common factor 98977 and 98987 is 1.

Also check out the Least Common Multiple of 98977 and 98987