What is the Greatest Common Factor of 38624 and 38635?

Greatest common factor (GCF) of 38624 and 38635 is 1.

GCF(38624,38635) = 1

We will now calculate the prime factors of 38624 and 38635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38624 and 38635.

How to find the GCF of 38624 and 38635?

We will first find the prime factorization of 38624 and 38635. After we will calculate the factors of 38624 and 38635 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 38635

Prime factors of 38635 are 5, 7727. Prime factorization of 38635 in exponential form is:

38635 = 5¹ × 7727¹

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 38635

List of positive integer factors of 38635 that divides 38624 without a remainder.

1, 5, 7727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38624 and 38635. The biggest common factor number is the GCF number.
So the greatest common factor 38624 and 38635 is 1.

Also check out the Least Common Multiple of 38624 and 38635