What is the Greatest Common Factor of 96638 and 96652?

Greatest common factor (GCF) of 96638 and 96652 is 2.

GCF(96638,96652) = 2

We will now calculate the prime factors of 96638 and 96652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96638 and 96652.

How to find the GCF of 96638 and 96652?

We will first find the prime factorization of 96638 and 96652. After we will calculate the factors of 96638 and 96652 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96652

Prime factors of 96652 are 2, 73, 331. Prime factorization of 96652 in exponential form is:

96652 = 2² × 73¹ × 331¹

Step-3: Factors of 96638

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

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

Step-4: Factors of 96652

List of positive integer factors of 96652 that divides 96638 without a remainder.

1, 2, 4, 73, 146, 292, 331, 662, 1324, 24163, 48326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96638 and 96652. The biggest common factor number is the GCF number.
So the greatest common factor 96638 and 96652 is 2.

Also check out the Least Common Multiple of 96638 and 96652