What is the Greatest Common Factor of 38624 and 38629?

Greatest common factor (GCF) of 38624 and 38629 is 1.

GCF(38624,38629) = 1

We will now calculate the prime factors of 38624 and 38629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38624 and 38629.

How to find the GCF of 38624 and 38629?

We will first find the prime factorization of 38624 and 38629. After we will calculate the factors of 38624 and 38629 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 38629

Prime factors of 38629 are 38629. Prime factorization of 38629 in exponential form is:

38629 = 38629¹

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 38629

List of positive integer factors of 38629 that divides 38624 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38624 and 38629. The biggest common factor number is the GCF number.
So the greatest common factor 38624 and 38629 is 1.

Also check out the Least Common Multiple of 38624 and 38629