What is the Greatest Common Factor of 38624 and 38630?

Greatest common factor (GCF) of 38624 and 38630 is 2.

GCF(38624,38630) = 2

We will now calculate the prime factors of 38624 and 38630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38624 and 38630.

How to find the GCF of 38624 and 38630?

We will first find the prime factorization of 38624 and 38630. After we will calculate the factors of 38624 and 38630 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 38630

Prime factors of 38630 are 2, 5, 3863. Prime factorization of 38630 in exponential form is:

38630 = 2¹ × 5¹ × 3863¹

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 38630

List of positive integer factors of 38630 that divides 38624 without a remainder.

1, 2, 5, 10, 3863, 7726, 19315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38624 and 38630. The biggest common factor number is the GCF number.
So the greatest common factor 38624 and 38630 is 2.

Also check out the Least Common Multiple of 38624 and 38630