What is the Greatest Common Factor of 96961 and 96970?

Greatest common factor (GCF) of 96961 and 96970 is 1.

GCF(96961,96970) = 1

We will now calculate the prime factors of 96961 and 96970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96961 and 96970.

How to find the GCF of 96961 and 96970?

We will first find the prime factorization of 96961 and 96970. After we will calculate the factors of 96961 and 96970 and find the biggest common factor number .

Step-1: Prime Factorization of 96961

Prime factors of 96961 are 47, 2063. Prime factorization of 96961 in exponential form is:

96961 = 47¹ × 2063¹

Step-2: Prime Factorization of 96970

Prime factors of 96970 are 2, 5, 9697. Prime factorization of 96970 in exponential form is:

96970 = 2¹ × 5¹ × 9697¹

Step-3: Factors of 96961

List of positive integer factors of 96961 that divides 96961 without a remainder.

1, 47, 2063

Step-4: Factors of 96970

List of positive integer factors of 96970 that divides 96961 without a remainder.

1, 2, 5, 10, 9697, 19394, 48485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96961 and 96970. The biggest common factor number is the GCF number.
So the greatest common factor 96961 and 96970 is 1.

Also check out the Least Common Multiple of 96961 and 96970