What is the Greatest Common Factor of 39617 and 39627?

Greatest common factor (GCF) of 39617 and 39627 is 1.

GCF(39617,39627) = 1

We will now calculate the prime factors of 39617 and 39627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39617 and 39627.

How to find the GCF of 39617 and 39627?

We will first find the prime factorization of 39617 and 39627. After we will calculate the factors of 39617 and 39627 and find the biggest common factor number .

Step-1: Prime Factorization of 39617

Prime factors of 39617 are 173, 229. Prime factorization of 39617 in exponential form is:

39617 = 173¹ × 229¹

Step-2: Prime Factorization of 39627

Prime factors of 39627 are 3, 7, 17, 37. Prime factorization of 39627 in exponential form is:

39627 = 3² × 7¹ × 17¹ × 37¹

Step-3: Factors of 39617

List of positive integer factors of 39617 that divides 39617 without a remainder.

1, 173, 229

Step-4: Factors of 39627

List of positive integer factors of 39627 that divides 39617 without a remainder.

1, 3, 7, 9, 17, 21, 37, 51, 63, 111, 119, 153, 259, 333, 357, 629, 777, 1071, 1887, 2331, 4403, 5661, 13209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39617 and 39627. The biggest common factor number is the GCF number.
So the greatest common factor 39617 and 39627 is 1.

Also check out the Least Common Multiple of 39617 and 39627