What is the Greatest Common Factor of 38112 and 38116?

Greatest common factor (GCF) of 38112 and 38116 is 4.

GCF(38112,38116) = 4

We will now calculate the prime factors of 38112 and 38116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38112 and 38116.

How to find the GCF of 38112 and 38116?

We will first find the prime factorization of 38112 and 38116. After we will calculate the factors of 38112 and 38116 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 38116

Prime factors of 38116 are 2, 13, 733. Prime factorization of 38116 in exponential form is:

38116 = 2² × 13¹ × 733¹

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 38116

List of positive integer factors of 38116 that divides 38112 without a remainder.

1, 2, 4, 13, 26, 52, 733, 1466, 2932, 9529, 19058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38112 and 38116. The biggest common factor number is the GCF number.
So the greatest common factor 38112 and 38116 is 4.

Also check out the Least Common Multiple of 38112 and 38116