What is the Greatest Common Factor of 38612 and 38616?

Greatest common factor (GCF) of 38612 and 38616 is 4.

GCF(38612,38616) = 4

We will now calculate the prime factors of 38612 and 38616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38612 and 38616.

How to find the GCF of 38612 and 38616?

We will first find the prime factorization of 38612 and 38616. After we will calculate the factors of 38612 and 38616 and find the biggest common factor number .

Step-1: Prime Factorization of 38612

Prime factors of 38612 are 2, 7, 197. Prime factorization of 38612 in exponential form is:

38612 = 2² × 7² × 197¹

Step-2: Prime Factorization of 38616

Prime factors of 38616 are 2, 3, 1609. Prime factorization of 38616 in exponential form is:

38616 = 2³ × 3¹ × 1609¹

Step-3: Factors of 38612

List of positive integer factors of 38612 that divides 38612 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 197, 394, 788, 1379, 2758, 5516, 9653, 19306

Step-4: Factors of 38616

List of positive integer factors of 38616 that divides 38612 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1609, 3218, 4827, 6436, 9654, 12872, 19308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38612 and 38616. The biggest common factor number is the GCF number.
So the greatest common factor 38612 and 38616 is 4.

Also check out the Least Common Multiple of 38612 and 38616