What is the Greatest Common Factor of 68624 and 68638?

Greatest common factor (GCF) of 68624 and 68638 is 2.

GCF(68624,68638) = 2

We will now calculate the prime factors of 68624 and 68638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68624 and 68638.

How to find the GCF of 68624 and 68638?

We will first find the prime factorization of 68624 and 68638. After we will calculate the factors of 68624 and 68638 and find the biggest common factor number .

Step-1: Prime Factorization of 68624

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

68624 = 2⁴ × 4289¹

Step-2: Prime Factorization of 68638

Prime factors of 68638 are 2, 34319. Prime factorization of 68638 in exponential form is:

68638 = 2¹ × 34319¹

Step-3: Factors of 68624

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

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

Step-4: Factors of 68638

List of positive integer factors of 68638 that divides 68624 without a remainder.

1, 2, 34319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68624 and 68638. The biggest common factor number is the GCF number.
So the greatest common factor 68624 and 68638 is 2.

Also check out the Least Common Multiple of 68624 and 68638