What is the Greatest Common Factor of 67144 and 67158?

Greatest common factor (GCF) of 67144 and 67158 is 14.

GCF(67144,67158) = 14

We will now calculate the prime factors of 67144 and 67158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67144 and 67158.

How to find the GCF of 67144 and 67158?

We will first find the prime factorization of 67144 and 67158. After we will calculate the factors of 67144 and 67158 and find the biggest common factor number .

Step-1: Prime Factorization of 67144

Prime factors of 67144 are 2, 7, 11, 109. Prime factorization of 67144 in exponential form is:

67144 = 2³ × 7¹ × 11¹ × 109¹

Step-2: 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-3: Factors of 67144

List of positive integer factors of 67144 that divides 67144 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 109, 154, 218, 308, 436, 616, 763, 872, 1199, 1526, 2398, 3052, 4796, 6104, 8393, 9592, 16786, 33572

Step-4: Factors of 67158

List of positive integer factors of 67158 that divides 67144 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67144 and 67158. The biggest common factor number is the GCF number.
So the greatest common factor 67144 and 67158 is 14.

Also check out the Least Common Multiple of 67144 and 67158