What is the Greatest Common Factor of 68138 and 68152?

Greatest common factor (GCF) of 68138 and 68152 is 14.

GCF(68138,68152) = 14

We will now calculate the prime factors of 68138 and 68152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68138 and 68152.

How to find the GCF of 68138 and 68152?

We will first find the prime factorization of 68138 and 68152. After we will calculate the factors of 68138 and 68152 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68152

Prime factors of 68152 are 2, 7, 1217. Prime factorization of 68152 in exponential form is:

68152 = 2³ × 7¹ × 1217¹

Step-3: Factors of 68138

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

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

Step-4: Factors of 68152

List of positive integer factors of 68152 that divides 68138 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1217, 2434, 4868, 8519, 9736, 17038, 34076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68138 and 68152. The biggest common factor number is the GCF number.
So the greatest common factor 68138 and 68152 is 14.

Also check out the Least Common Multiple of 68138 and 68152