What is the Greatest Common Factor of 62624 and 62638?

Greatest common factor (GCF) of 62624 and 62638 is 2.

GCF(62624,62638) = 2

We will now calculate the prime factors of 62624 and 62638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62624 and 62638.

How to find the GCF of 62624 and 62638?

We will first find the prime factorization of 62624 and 62638. After we will calculate the factors of 62624 and 62638 and find the biggest common factor number .

Step-1: Prime Factorization of 62624

Prime factors of 62624 are 2, 19, 103. Prime factorization of 62624 in exponential form is:

62624 = 2⁵ × 19¹ × 103¹

Step-2: Prime Factorization of 62638

Prime factors of 62638 are 2, 31319. Prime factorization of 62638 in exponential form is:

62638 = 2¹ × 31319¹

Step-3: Factors of 62624

List of positive integer factors of 62624 that divides 62624 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 103, 152, 206, 304, 412, 608, 824, 1648, 1957, 3296, 3914, 7828, 15656, 31312

Step-4: Factors of 62638

List of positive integer factors of 62638 that divides 62624 without a remainder.

1, 2, 31319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62624 and 62638. The biggest common factor number is the GCF number.
So the greatest common factor 62624 and 62638 is 2.

Also check out the Least Common Multiple of 62624 and 62638