What is the Greatest Common Factor of 68614 and 68621?

Greatest common factor (GCF) of 68614 and 68621 is 7.

GCF(68614,68621) = 7

We will now calculate the prime factors of 68614 and 68621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68614 and 68621.

How to find the GCF of 68614 and 68621?

We will first find the prime factorization of 68614 and 68621. After we will calculate the factors of 68614 and 68621 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68621

Prime factors of 68621 are 7, 9803. Prime factorization of 68621 in exponential form is:

68621 = 7¹ × 9803¹

Step-3: Factors of 68614

List of positive integer factors of 68614 that divides 68614 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

Step-4: Factors of 68621

List of positive integer factors of 68621 that divides 68614 without a remainder.

1, 7, 9803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68614 and 68621. The biggest common factor number is the GCF number.
So the greatest common factor 68614 and 68621 is 7.

Also check out the Least Common Multiple of 68614 and 68621