What is the Greatest Common Factor of 95979 and 95987?

Greatest common factor (GCF) of 95979 and 95987 is 1.

GCF(95979,95987) = 1

We will now calculate the prime factors of 95979 and 95987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95979 and 95987.

How to find the GCF of 95979 and 95987?

We will first find the prime factorization of 95979 and 95987. After we will calculate the factors of 95979 and 95987 and find the biggest common factor number .

Step-1: Prime Factorization of 95979

Prime factors of 95979 are 3, 13, 23, 107. Prime factorization of 95979 in exponential form is:

95979 = 3¹ × 13¹ × 23¹ × 107¹

Step-2: Prime Factorization of 95987

Prime factors of 95987 are 95987. Prime factorization of 95987 in exponential form is:

95987 = 95987¹

Step-3: Factors of 95979

List of positive integer factors of 95979 that divides 95979 without a remainder.

1, 3, 13, 23, 39, 69, 107, 299, 321, 897, 1391, 2461, 4173, 7383, 31993

Step-4: Factors of 95987

List of positive integer factors of 95987 that divides 95979 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95979 and 95987. The biggest common factor number is the GCF number.
So the greatest common factor 95979 and 95987 is 1.

Also check out the Least Common Multiple of 95979 and 95987