What is the Greatest Common Factor of 93472 and 93484?

Greatest common factor (GCF) of 93472 and 93484 is 4.

GCF(93472,93484) = 4

We will now calculate the prime factors of 93472 and 93484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93472 and 93484.

How to find the GCF of 93472 and 93484?

We will first find the prime factorization of 93472 and 93484. After we will calculate the factors of 93472 and 93484 and find the biggest common factor number .

Step-1: Prime Factorization of 93472

Prime factors of 93472 are 2, 23, 127. Prime factorization of 93472 in exponential form is:

93472 = 2⁵ × 23¹ × 127¹

Step-2: Prime Factorization of 93484

Prime factors of 93484 are 2, 23371. Prime factorization of 93484 in exponential form is:

93484 = 2² × 23371¹

Step-3: Factors of 93472

List of positive integer factors of 93472 that divides 93472 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 127, 184, 254, 368, 508, 736, 1016, 2032, 2921, 4064, 5842, 11684, 23368, 46736

Step-4: Factors of 93484

List of positive integer factors of 93484 that divides 93472 without a remainder.

1, 2, 4, 23371, 46742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93472 and 93484. The biggest common factor number is the GCF number.
So the greatest common factor 93472 and 93484 is 4.

Also check out the Least Common Multiple of 93472 and 93484