What is the Greatest Common Factor of 48624 and 48634?

Greatest common factor (GCF) of 48624 and 48634 is 2.

GCF(48624,48634) = 2

We will now calculate the prime factors of 48624 and 48634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48624 and 48634.

How to find the GCF of 48624 and 48634?

We will first find the prime factorization of 48624 and 48634. After we will calculate the factors of 48624 and 48634 and find the biggest common factor number .

Step-1: Prime Factorization of 48624

Prime factors of 48624 are 2, 3, 1013. Prime factorization of 48624 in exponential form is:

48624 = 2⁴ × 3¹ × 1013¹

Step-2: Prime Factorization of 48634

Prime factors of 48634 are 2, 24317. Prime factorization of 48634 in exponential form is:

48634 = 2¹ × 24317¹

Step-3: Factors of 48624

List of positive integer factors of 48624 that divides 48624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1013, 2026, 3039, 4052, 6078, 8104, 12156, 16208, 24312

Step-4: Factors of 48634

List of positive integer factors of 48634 that divides 48624 without a remainder.

1, 2, 24317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48624 and 48634. The biggest common factor number is the GCF number.
So the greatest common factor 48624 and 48634 is 2.

Also check out the Least Common Multiple of 48624 and 48634