What is the Greatest Common Factor of 38624 and 38639?

Greatest common factor (GCF) of 38624 and 38639 is 1.

GCF(38624,38639) = 1

We will now calculate the prime factors of 38624 and 38639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38624 and 38639.

How to find the GCF of 38624 and 38639?

We will first find the prime factorization of 38624 and 38639. After we will calculate the factors of 38624 and 38639 and find the biggest common factor number .

Step-1: Prime Factorization of 38624

Prime factors of 38624 are 2, 17, 71. Prime factorization of 38624 in exponential form is:

38624 = 2⁵ × 17¹ × 71¹

Step-2: Prime Factorization of 38639

Prime factors of 38639 are 38639. Prime factorization of 38639 in exponential form is:

38639 = 38639¹

Step-3: Factors of 38624

List of positive integer factors of 38624 that divides 38624 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 71, 136, 142, 272, 284, 544, 568, 1136, 1207, 2272, 2414, 4828, 9656, 19312

Step-4: Factors of 38639

List of positive integer factors of 38639 that divides 38624 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38624 and 38639. The biggest common factor number is the GCF number.
So the greatest common factor 38624 and 38639 is 1.

Also check out the Least Common Multiple of 38624 and 38639