What is the Greatest Common Factor of 96627 and 96638?

Greatest common factor (GCF) of 96627 and 96638 is 1.

GCF(96627,96638) = 1

We will now calculate the prime factors of 96627 and 96638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96627 and 96638.

How to find the GCF of 96627 and 96638?

We will first find the prime factorization of 96627 and 96638. After we will calculate the factors of 96627 and 96638 and find the biggest common factor number .

Step-1: Prime Factorization of 96627

Prime factors of 96627 are 3, 31, 1039. Prime factorization of 96627 in exponential form is:

96627 = 3¹ × 31¹ × 1039¹

Step-2: Prime Factorization of 96638

Prime factors of 96638 are 2, 211, 229. Prime factorization of 96638 in exponential form is:

96638 = 2¹ × 211¹ × 229¹

Step-3: Factors of 96627

List of positive integer factors of 96627 that divides 96627 without a remainder.

1, 3, 31, 93, 1039, 3117, 32209

Step-4: Factors of 96638

List of positive integer factors of 96638 that divides 96627 without a remainder.

1, 2, 211, 229, 422, 458, 48319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96627 and 96638. The biggest common factor number is the GCF number.
So the greatest common factor 96627 and 96638 is 1.

Also check out the Least Common Multiple of 96627 and 96638