What is the Greatest Common Factor of 38624 and 38632?

Greatest common factor (GCF) of 38624 and 38632 is 8.

GCF(38624,38632) = 8

We will now calculate the prime factors of 38624 and 38632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38624 and 38632.

How to find the GCF of 38624 and 38632?

We will first find the prime factorization of 38624 and 38632. After we will calculate the factors of 38624 and 38632 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 38632

Prime factors of 38632 are 2, 11, 439. Prime factorization of 38632 in exponential form is:

38632 = 2³ × 11¹ × 439¹

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 38632

List of positive integer factors of 38632 that divides 38624 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 439, 878, 1756, 3512, 4829, 9658, 19316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38624 and 38632. The biggest common factor number is the GCF number.
So the greatest common factor 38624 and 38632 is 8.

Also check out the Least Common Multiple of 38624 and 38632