What is the Greatest Common Factor of 63172 and 63189?

Greatest common factor (GCF) of 63172 and 63189 is 17.

GCF(63172,63189) = 17

We will now calculate the prime factors of 63172 and 63189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63172 and 63189.

How to find the GCF of 63172 and 63189?

We will first find the prime factorization of 63172 and 63189. After we will calculate the factors of 63172 and 63189 and find the biggest common factor number .

Step-1: Prime Factorization of 63172

Prime factors of 63172 are 2, 17, 929. Prime factorization of 63172 in exponential form is:

63172 = 2² × 17¹ × 929¹

Step-2: Prime Factorization of 63189

Prime factors of 63189 are 3, 7, 17, 59. Prime factorization of 63189 in exponential form is:

63189 = 3² × 7¹ × 17¹ × 59¹

Step-3: Factors of 63172

List of positive integer factors of 63172 that divides 63172 without a remainder.

1, 2, 4, 17, 34, 68, 929, 1858, 3716, 15793, 31586

Step-4: Factors of 63189

List of positive integer factors of 63189 that divides 63172 without a remainder.

1, 3, 7, 9, 17, 21, 51, 59, 63, 119, 153, 177, 357, 413, 531, 1003, 1071, 1239, 3009, 3717, 7021, 9027, 21063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63172 and 63189. The biggest common factor number is the GCF number.
So the greatest common factor 63172 and 63189 is 17.

Also check out the Least Common Multiple of 63172 and 63189