What is the Greatest Common Factor of 38624 and 38636?

Greatest common factor (GCF) of 38624 and 38636 is 4.

GCF(38624,38636) = 4

We will now calculate the prime factors of 38624 and 38636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38624 and 38636.

How to find the GCF of 38624 and 38636?

We will first find the prime factorization of 38624 and 38636. After we will calculate the factors of 38624 and 38636 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 38636

Prime factors of 38636 are 2, 13, 743. Prime factorization of 38636 in exponential form is:

38636 = 2² × 13¹ × 743¹

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 38636

List of positive integer factors of 38636 that divides 38624 without a remainder.

1, 2, 4, 13, 26, 52, 743, 1486, 2972, 9659, 19318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38624 and 38636. The biggest common factor number is the GCF number.
So the greatest common factor 38624 and 38636 is 4.

Also check out the Least Common Multiple of 38624 and 38636