What is the Greatest Common Factor of 67158 and 67172?

Greatest common factor (GCF) of 67158 and 67172 is 14.

GCF(67158,67172) = 14

We will now calculate the prime factors of 67158 and 67172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67158 and 67172.

How to find the GCF of 67158 and 67172?

We will first find the prime factorization of 67158 and 67172. After we will calculate the factors of 67158 and 67172 and find the biggest common factor number .

Step-1: Prime Factorization of 67158

Prime factors of 67158 are 2, 3, 7, 13, 41. Prime factorization of 67158 in exponential form is:

67158 = 2¹ × 3² × 7¹ × 13¹ × 41¹

Step-2: Prime Factorization of 67172

Prime factors of 67172 are 2, 7, 2399. Prime factorization of 67172 in exponential form is:

67172 = 2² × 7¹ × 2399¹

Step-3: Factors of 67158

List of positive integer factors of 67158 that divides 67158 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 41, 42, 63, 78, 82, 91, 117, 123, 126, 182, 234, 246, 273, 287, 369, 533, 546, 574, 738, 819, 861, 1066, 1599, 1638, 1722, 2583, 3198, 3731, 4797, 5166, 7462, 9594, 11193, 22386, 33579

Step-4: Factors of 67172

List of positive integer factors of 67172 that divides 67158 without a remainder.

1, 2, 4, 7, 14, 28, 2399, 4798, 9596, 16793, 33586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67158 and 67172. The biggest common factor number is the GCF number.
So the greatest common factor 67158 and 67172 is 14.

Also check out the Least Common Multiple of 67158 and 67172