What is the Greatest Common Factor of 38608 and 38627?

Greatest common factor (GCF) of 38608 and 38627 is 19.

GCF(38608,38627) = 19

We will now calculate the prime factors of 38608 and 38627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38608 and 38627.

How to find the GCF of 38608 and 38627?

We will first find the prime factorization of 38608 and 38627. After we will calculate the factors of 38608 and 38627 and find the biggest common factor number .

Step-1: Prime Factorization of 38608

Prime factors of 38608 are 2, 19, 127. Prime factorization of 38608 in exponential form is:

38608 = 2⁴ × 19¹ × 127¹

Step-2: Prime Factorization of 38627

Prime factors of 38627 are 19, 107. Prime factorization of 38627 in exponential form is:

38627 = 19² × 107¹

Step-3: Factors of 38608

List of positive integer factors of 38608 that divides 38608 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 127, 152, 254, 304, 508, 1016, 2032, 2413, 4826, 9652, 19304

Step-4: Factors of 38627

List of positive integer factors of 38627 that divides 38608 without a remainder.

1, 19, 107, 361, 2033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38608 and 38627. The biggest common factor number is the GCF number.
So the greatest common factor 38608 and 38627 is 19.

Also check out the Least Common Multiple of 38608 and 38627