What is the Greatest Common Factor of 68124 and 68136?

Greatest common factor (GCF) of 68124 and 68136 is 12.

GCF(68124,68136) = 12

We will now calculate the prime factors of 68124 and 68136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68124 and 68136.

How to find the GCF of 68124 and 68136?

We will first find the prime factorization of 68124 and 68136. After we will calculate the factors of 68124 and 68136 and find the biggest common factor number .

Step-1: Prime Factorization of 68124

Prime factors of 68124 are 2, 3, 7, 811. Prime factorization of 68124 in exponential form is:

68124 = 2² × 3¹ × 7¹ × 811¹

Step-2: Prime Factorization of 68136

Prime factors of 68136 are 2, 3, 17, 167. Prime factorization of 68136 in exponential form is:

68136 = 2³ × 3¹ × 17¹ × 167¹

Step-3: Factors of 68124

List of positive integer factors of 68124 that divides 68124 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 811, 1622, 2433, 3244, 4866, 5677, 9732, 11354, 17031, 22708, 34062

Step-4: Factors of 68136

List of positive integer factors of 68136 that divides 68124 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 167, 204, 334, 408, 501, 668, 1002, 1336, 2004, 2839, 4008, 5678, 8517, 11356, 17034, 22712, 34068

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68124 and 68136. The biggest common factor number is the GCF number.
So the greatest common factor 68124 and 68136 is 12.

Also check out the Least Common Multiple of 68124 and 68136