What is the Greatest Common Factor of 38627 and 38646?

Greatest common factor (GCF) of 38627 and 38646 is 19.

GCF(38627,38646) = 19

We will now calculate the prime factors of 38627 and 38646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38627 and 38646.

How to find the GCF of 38627 and 38646?

We will first find the prime factorization of 38627 and 38646. After we will calculate the factors of 38627 and 38646 and find the biggest common factor number .

Step-1: Prime Factorization of 38627

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

38627 = 19² × 107¹

Step-2: Prime Factorization of 38646

Prime factors of 38646 are 2, 3, 19, 113. Prime factorization of 38646 in exponential form is:

38646 = 2¹ × 3² × 19¹ × 113¹

Step-3: Factors of 38627

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

1, 19, 107, 361, 2033

Step-4: Factors of 38646

List of positive integer factors of 38646 that divides 38627 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 113, 114, 171, 226, 339, 342, 678, 1017, 2034, 2147, 4294, 6441, 12882, 19323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38627 and 38646. The biggest common factor number is the GCF number.
So the greatest common factor 38627 and 38646 is 19.

Also check out the Least Common Multiple of 38627 and 38646