What is the Greatest Common Factor of 96958 and 96971?

Greatest common factor (GCF) of 96958 and 96971 is 1.

GCF(96958,96971) = 1

We will now calculate the prime factors of 96958 and 96971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96958 and 96971.

How to find the GCF of 96958 and 96971?

We will first find the prime factorization of 96958 and 96971. After we will calculate the factors of 96958 and 96971 and find the biggest common factor number .

Step-1: Prime Factorization of 96958

Prime factors of 96958 are 2, 48479. Prime factorization of 96958 in exponential form is:

96958 = 2¹ × 48479¹

Step-2: Prime Factorization of 96971

Prime factors of 96971 are 7, 1979. Prime factorization of 96971 in exponential form is:

96971 = 7² × 1979¹

Step-3: Factors of 96958

List of positive integer factors of 96958 that divides 96958 without a remainder.

1, 2, 48479

Step-4: Factors of 96971

List of positive integer factors of 96971 that divides 96958 without a remainder.

1, 7, 49, 1979, 13853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96958 and 96971. The biggest common factor number is the GCF number.
So the greatest common factor 96958 and 96971 is 1.

Also check out the Least Common Multiple of 96958 and 96971