What is the Greatest Common Factor of 68601 and 68614?

Greatest common factor (GCF) of 68601 and 68614 is 13.

GCF(68601,68614) = 13

We will now calculate the prime factors of 68601 and 68614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68601 and 68614.

How to find the GCF of 68601 and 68614?

We will first find the prime factorization of 68601 and 68614. After we will calculate the factors of 68601 and 68614 and find the biggest common factor number .

Step-1: Prime Factorization of 68601

Prime factors of 68601 are 3, 13, 1759. Prime factorization of 68601 in exponential form is:

68601 = 3¹ × 13¹ × 1759¹

Step-2: Prime Factorization of 68614

Prime factors of 68614 are 2, 7, 13, 29. Prime factorization of 68614 in exponential form is:

68614 = 2¹ × 7¹ × 13² × 29¹

Step-3: Factors of 68601

List of positive integer factors of 68601 that divides 68601 without a remainder.

1, 3, 13, 39, 1759, 5277, 22867

Step-4: Factors of 68614

List of positive integer factors of 68614 that divides 68601 without a remainder.

1, 2, 7, 13, 14, 26, 29, 58, 91, 169, 182, 203, 338, 377, 406, 754, 1183, 2366, 2639, 4901, 5278, 9802, 34307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68601 and 68614. The biggest common factor number is the GCF number.
So the greatest common factor 68601 and 68614 is 13.

Also check out the Least Common Multiple of 68601 and 68614