What is the Greatest Common Factor of 96610 and 96620?

Greatest common factor (GCF) of 96610 and 96620 is 10.

GCF(96610,96620) = 10

We will now calculate the prime factors of 96610 and 96620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96610 and 96620.

How to find the GCF of 96610 and 96620?

We will first find the prime factorization of 96610 and 96620. After we will calculate the factors of 96610 and 96620 and find the biggest common factor number .

Step-1: Prime Factorization of 96610

Prime factors of 96610 are 2, 5, 9661. Prime factorization of 96610 in exponential form is:

96610 = 2¹ × 5¹ × 9661¹

Step-2: Prime Factorization of 96620

Prime factors of 96620 are 2, 5, 4831. Prime factorization of 96620 in exponential form is:

96620 = 2² × 5¹ × 4831¹

Step-3: Factors of 96610

List of positive integer factors of 96610 that divides 96610 without a remainder.

1, 2, 5, 10, 9661, 19322, 48305

Step-4: Factors of 96620

List of positive integer factors of 96620 that divides 96610 without a remainder.

1, 2, 4, 5, 10, 20, 4831, 9662, 19324, 24155, 48310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96610 and 96620. The biggest common factor number is the GCF number.
So the greatest common factor 96610 and 96620 is 10.

Also check out the Least Common Multiple of 96610 and 96620