What is the Greatest Common Factor of 38112 and 38132?

Greatest common factor (GCF) of 38112 and 38132 is 4.

GCF(38112,38132) = 4

We will now calculate the prime factors of 38112 and 38132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38112 and 38132.

How to find the GCF of 38112 and 38132?

We will first find the prime factorization of 38112 and 38132. After we will calculate the factors of 38112 and 38132 and find the biggest common factor number .

Step-1: Prime Factorization of 38112

Prime factors of 38112 are 2, 3, 397. Prime factorization of 38112 in exponential form is:

38112 = 2⁵ × 3¹ × 397¹

Step-2: Prime Factorization of 38132

Prime factors of 38132 are 2, 9533. Prime factorization of 38132 in exponential form is:

38132 = 2² × 9533¹

Step-3: Factors of 38112

List of positive integer factors of 38112 that divides 38112 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 397, 794, 1191, 1588, 2382, 3176, 4764, 6352, 9528, 12704, 19056

Step-4: Factors of 38132

List of positive integer factors of 38132 that divides 38112 without a remainder.

1, 2, 4, 9533, 19066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38112 and 38132. The biggest common factor number is the GCF number.
So the greatest common factor 38112 and 38132 is 4.

Also check out the Least Common Multiple of 38112 and 38132