What is the Greatest Common Factor of 93431 and 93444?

Greatest common factor (GCF) of 93431 and 93444 is 13.

GCF(93431,93444) = 13

We will now calculate the prime factors of 93431 and 93444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93431 and 93444.

How to find the GCF of 93431 and 93444?

We will first find the prime factorization of 93431 and 93444. After we will calculate the factors of 93431 and 93444 and find the biggest common factor number .

Step-1: Prime Factorization of 93431

Prime factors of 93431 are 13, 7187. Prime factorization of 93431 in exponential form is:

93431 = 13¹ × 7187¹

Step-2: 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-3: Factors of 93431

List of positive integer factors of 93431 that divides 93431 without a remainder.

1, 13, 7187

Step-4: Factors of 93444

List of positive integer factors of 93444 that divides 93431 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93431 and 93444. The biggest common factor number is the GCF number.
So the greatest common factor 93431 and 93444 is 13.

Also check out the Least Common Multiple of 93431 and 93444