What is the Greatest Common Factor of 93628 and 93644?

Greatest common factor (GCF) of 93628 and 93644 is 4.

GCF(93628,93644) = 4

We will now calculate the prime factors of 93628 and 93644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93628 and 93644.

How to find the GCF of 93628 and 93644?

We will first find the prime factorization of 93628 and 93644. After we will calculate the factors of 93628 and 93644 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 93644

Prime factors of 93644 are 2, 41, 571. Prime factorization of 93644 in exponential form is:

93644 = 2² × 41¹ × 571¹

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 93644

List of positive integer factors of 93644 that divides 93628 without a remainder.

1, 2, 4, 41, 82, 164, 571, 1142, 2284, 23411, 46822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93628 and 93644. The biggest common factor number is the GCF number.
So the greatest common factor 93628 and 93644 is 4.

Also check out the Least Common Multiple of 93628 and 93644