What is the Greatest Common Factor of 38624 and 38644?

Greatest common factor (GCF) of 38624 and 38644 is 4.

GCF(38624,38644) = 4

We will now calculate the prime factors of 38624 and 38644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38624 and 38644.

How to find the GCF of 38624 and 38644?

We will first find the prime factorization of 38624 and 38644. After we will calculate the factors of 38624 and 38644 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 38644

Prime factors of 38644 are 2, 9661. Prime factorization of 38644 in exponential form is:

38644 = 2² × 9661¹

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 38644

List of positive integer factors of 38644 that divides 38624 without a remainder.

1, 2, 4, 9661, 19322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38624 and 38644. The biggest common factor number is the GCF number.
So the greatest common factor 38624 and 38644 is 4.

Also check out the Least Common Multiple of 38624 and 38644