What is the Greatest Common Factor of 39610 and 39627?

Greatest common factor (GCF) of 39610 and 39627 is 17.

GCF(39610,39627) = 17

We will now calculate the prime factors of 39610 and 39627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39610 and 39627.

How to find the GCF of 39610 and 39627?

We will first find the prime factorization of 39610 and 39627. After we will calculate the factors of 39610 and 39627 and find the biggest common factor number .

Step-1: Prime Factorization of 39610

Prime factors of 39610 are 2, 5, 17, 233. Prime factorization of 39610 in exponential form is:

39610 = 2¹ × 5¹ × 17¹ × 233¹

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 39610

List of positive integer factors of 39610 that divides 39610 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 233, 466, 1165, 2330, 3961, 7922, 19805

Step-4: Factors of 39627

List of positive integer factors of 39627 that divides 39610 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 39610 and 39627. The biggest common factor number is the GCF number.
So the greatest common factor 39610 and 39627 is 17.

Also check out the Least Common Multiple of 39610 and 39627