What is the Greatest Common Factor of 68139 and 68151?

Greatest common factor (GCF) of 68139 and 68151 is 3.

GCF(68139,68151) = 3

We will now calculate the prime factors of 68139 and 68151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68139 and 68151.

How to find the GCF of 68139 and 68151?

We will first find the prime factorization of 68139 and 68151. After we will calculate the factors of 68139 and 68151 and find the biggest common factor number .

Step-1: Prime Factorization of 68139

Prime factors of 68139 are 3, 67, 113. Prime factorization of 68139 in exponential form is:

68139 = 3² × 67¹ × 113¹

Step-2: Prime Factorization of 68151

Prime factors of 68151 are 3, 22717. Prime factorization of 68151 in exponential form is:

68151 = 3¹ × 22717¹

Step-3: Factors of 68139

List of positive integer factors of 68139 that divides 68139 without a remainder.

1, 3, 9, 67, 113, 201, 339, 603, 1017, 7571, 22713

Step-4: Factors of 68151

List of positive integer factors of 68151 that divides 68139 without a remainder.

1, 3, 22717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68139 and 68151. The biggest common factor number is the GCF number.
So the greatest common factor 68139 and 68151 is 3.

Also check out the Least Common Multiple of 68139 and 68151