What is the Greatest Common Factor of 68614 and 68624?

Greatest common factor (GCF) of 68614 and 68624 is 2.

GCF(68614,68624) = 2

We will now calculate the prime factors of 68614 and 68624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68614 and 68624.

How to find the GCF of 68614 and 68624?

We will first find the prime factorization of 68614 and 68624. After we will calculate the factors of 68614 and 68624 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 68624

Prime factors of 68624 are 2, 4289. Prime factorization of 68624 in exponential form is:

68624 = 2⁴ × 4289¹

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 68624

List of positive integer factors of 68624 that divides 68614 without a remainder.

1, 2, 4, 8, 16, 4289, 8578, 17156, 34312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68614 and 68624. The biggest common factor number is the GCF number.
So the greatest common factor 68614 and 68624 is 2.

Also check out the Least Common Multiple of 68614 and 68624