What is the Greatest Common Factor of 93444 and 93457?

Greatest common factor (GCF) of 93444 and 93457 is 13.

GCF(93444,93457) = 13

We will now calculate the prime factors of 93444 and 93457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93444 and 93457.

How to find the GCF of 93444 and 93457?

We will first find the prime factorization of 93444 and 93457. After we will calculate the factors of 93444 and 93457 and find the biggest common factor number .

Step-1: Prime Factorization of 93444

Prime factors of 93444 are 2, 3, 13, 599. Prime factorization of 93444 in exponential form is:

93444 = 2² × 3¹ × 13¹ × 599¹

Step-2: Prime Factorization of 93457

Prime factors of 93457 are 7, 13, 79. Prime factorization of 93457 in exponential form is:

93457 = 7¹ × 13² × 79¹

Step-3: Factors of 93444

List of positive integer factors of 93444 that divides 93444 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 599, 1198, 1797, 2396, 3594, 7188, 7787, 15574, 23361, 31148, 46722

Step-4: Factors of 93457

List of positive integer factors of 93457 that divides 93444 without a remainder.

1, 7, 13, 79, 91, 169, 553, 1027, 1183, 7189, 13351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93444 and 93457. The biggest common factor number is the GCF number.
So the greatest common factor 93444 and 93457 is 13.

Also check out the Least Common Multiple of 93444 and 93457