What is the Greatest Common Factor of 93628 and 93638?

Greatest common factor (GCF) of 93628 and 93638 is 2.

GCF(93628,93638) = 2

We will now calculate the prime factors of 93628 and 93638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93628 and 93638.

How to find the GCF of 93628 and 93638?

We will first find the prime factorization of 93628 and 93638. After we will calculate the factors of 93628 and 93638 and find the biggest common factor number .

Step-1: Prime Factorization of 93628

Prime factors of 93628 are 2, 89, 263. Prime factorization of 93628 in exponential form is:

93628 = 2² × 89¹ × 263¹

Step-2: Prime Factorization of 93638

Prime factors of 93638 are 2, 46819. Prime factorization of 93638 in exponential form is:

93638 = 2¹ × 46819¹

Step-3: Factors of 93628

List of positive integer factors of 93628 that divides 93628 without a remainder.

1, 2, 4, 89, 178, 263, 356, 526, 1052, 23407, 46814

Step-4: Factors of 93638

List of positive integer factors of 93638 that divides 93628 without a remainder.

1, 2, 46819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93628 and 93638. The biggest common factor number is the GCF number.
So the greatest common factor 93628 and 93638 is 2.

Also check out the Least Common Multiple of 93628 and 93638