What is the Greatest Common Factor of 68124 and 68138?

Greatest common factor (GCF) of 68124 and 68138 is 14.

GCF(68124,68138) = 14

We will now calculate the prime factors of 68124 and 68138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68124 and 68138.

How to find the GCF of 68124 and 68138?

We will first find the prime factorization of 68124 and 68138. After we will calculate the factors of 68124 and 68138 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 68138

Prime factors of 68138 are 2, 7, 31, 157. Prime factorization of 68138 in exponential form is:

68138 = 2¹ × 7¹ × 31¹ × 157¹

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 68138

List of positive integer factors of 68138 that divides 68124 without a remainder.

1, 2, 7, 14, 31, 62, 157, 217, 314, 434, 1099, 2198, 4867, 9734, 34069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68124 and 68138. The biggest common factor number is the GCF number.
So the greatest common factor 68124 and 68138 is 14.

Also check out the Least Common Multiple of 68124 and 68138