What is the Greatest Common Factor of 67138 and 67158?

Greatest common factor (GCF) of 67138 and 67158 is 2.

GCF(67138,67158) = 2

We will now calculate the prime factors of 67138 and 67158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67138 and 67158.

How to find the GCF of 67138 and 67158?

We will first find the prime factorization of 67138 and 67158. After we will calculate the factors of 67138 and 67158 and find the biggest common factor number .

Step-1: Prime Factorization of 67138

Prime factors of 67138 are 2, 33569. Prime factorization of 67138 in exponential form is:

67138 = 2¹ × 33569¹

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 67138

List of positive integer factors of 67138 that divides 67138 without a remainder.

1, 2, 33569

Step-4: Factors of 67158

List of positive integer factors of 67158 that divides 67138 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 67138 and 67158. The biggest common factor number is the GCF number.
So the greatest common factor 67138 and 67158 is 2.

Also check out the Least Common Multiple of 67138 and 67158