What is the Greatest Common Factor of 62624 and 62632?

Greatest common factor (GCF) of 62624 and 62632 is 8.

GCF(62624,62632) = 8

We will now calculate the prime factors of 62624 and 62632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62624 and 62632.

How to find the GCF of 62624 and 62632?

We will first find the prime factorization of 62624 and 62632. After we will calculate the factors of 62624 and 62632 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 62632

Prime factors of 62632 are 2, 7829. Prime factorization of 62632 in exponential form is:

62632 = 2³ × 7829¹

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 62632

List of positive integer factors of 62632 that divides 62624 without a remainder.

1, 2, 4, 8, 7829, 15658, 31316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62624 and 62632. The biggest common factor number is the GCF number.
So the greatest common factor 62624 and 62632 is 8.

Also check out the Least Common Multiple of 62624 and 62632