What is the Greatest Common Factor of 48624 and 48629?

Greatest common factor (GCF) of 48624 and 48629 is 1.

GCF(48624,48629) = 1

We will now calculate the prime factors of 48624 and 48629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48624 and 48629.

How to find the GCF of 48624 and 48629?

We will first find the prime factorization of 48624 and 48629. After we will calculate the factors of 48624 and 48629 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 48629

Prime factors of 48629 are 7, 6947. Prime factorization of 48629 in exponential form is:

48629 = 7¹ × 6947¹

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 48629

List of positive integer factors of 48629 that divides 48624 without a remainder.

1, 7, 6947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48624 and 48629. The biggest common factor number is the GCF number.
So the greatest common factor 48624 and 48629 is 1.

Also check out the Least Common Multiple of 48624 and 48629