What is the Greatest Common Factor of 48609 and 48624?

Greatest common factor (GCF) of 48609 and 48624 is 3.

GCF(48609,48624) = 3

We will now calculate the prime factors of 48609 and 48624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48609 and 48624.

How to find the GCF of 48609 and 48624?

We will first find the prime factorization of 48609 and 48624. After we will calculate the factors of 48609 and 48624 and find the biggest common factor number .

Step-1: Prime Factorization of 48609

Prime factors of 48609 are 3, 11, 491. Prime factorization of 48609 in exponential form is:

48609 = 3² × 11¹ × 491¹

Step-2: 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-3: Factors of 48609

List of positive integer factors of 48609 that divides 48609 without a remainder.

1, 3, 9, 11, 33, 99, 491, 1473, 4419, 5401, 16203

Step-4: Factors of 48624

List of positive integer factors of 48624 that divides 48609 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48609 and 48624. The biggest common factor number is the GCF number.
So the greatest common factor 48609 and 48624 is 3.

Also check out the Least Common Multiple of 48609 and 48624