What is the Greatest Common Factor of 93388 and 93392?

Greatest common factor (GCF) of 93388 and 93392 is 4.

GCF(93388,93392) = 4

We will now calculate the prime factors of 93388 and 93392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93388 and 93392.

How to find the GCF of 93388 and 93392?

We will first find the prime factorization of 93388 and 93392. After we will calculate the factors of 93388 and 93392 and find the biggest common factor number .

Step-1: Prime Factorization of 93388

Prime factors of 93388 are 2, 37, 631. Prime factorization of 93388 in exponential form is:

93388 = 2² × 37¹ × 631¹

Step-2: Prime Factorization of 93392

Prime factors of 93392 are 2, 13, 449. Prime factorization of 93392 in exponential form is:

93392 = 2⁴ × 13¹ × 449¹

Step-3: Factors of 93388

List of positive integer factors of 93388 that divides 93388 without a remainder.

1, 2, 4, 37, 74, 148, 631, 1262, 2524, 23347, 46694

Step-4: Factors of 93392

List of positive integer factors of 93392 that divides 93388 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 449, 898, 1796, 3592, 5837, 7184, 11674, 23348, 46696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93388 and 93392. The biggest common factor number is the GCF number.
So the greatest common factor 93388 and 93392 is 4.

Also check out the Least Common Multiple of 93388 and 93392