What is the Greatest Common Factor of 96971 and 96985?

Greatest common factor (GCF) of 96971 and 96985 is 7.

GCF(96971,96985) = 7

We will now calculate the prime factors of 96971 and 96985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96971 and 96985.

How to find the GCF of 96971 and 96985?

We will first find the prime factorization of 96971 and 96985. After we will calculate the factors of 96971 and 96985 and find the biggest common factor number .

Step-1: Prime Factorization of 96971

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

96971 = 7² × 1979¹

Step-2: Prime Factorization of 96985

Prime factors of 96985 are 5, 7, 17, 163. Prime factorization of 96985 in exponential form is:

96985 = 5¹ × 7¹ × 17¹ × 163¹

Step-3: Factors of 96971

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

1, 7, 49, 1979, 13853

Step-4: Factors of 96985

List of positive integer factors of 96985 that divides 96971 without a remainder.

1, 5, 7, 17, 35, 85, 119, 163, 595, 815, 1141, 2771, 5705, 13855, 19397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96971 and 96985. The biggest common factor number is the GCF number.
So the greatest common factor 96971 and 96985 is 7.

Also check out the Least Common Multiple of 96971 and 96985