What is the Greatest Common Factor of 48597 and 48612?

Greatest common factor (GCF) of 48597 and 48612 is 3.

GCF(48597,48612) = 3

We will now calculate the prime factors of 48597 and 48612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48597 and 48612.

How to find the GCF of 48597 and 48612?

We will first find the prime factorization of 48597 and 48612. After we will calculate the factors of 48597 and 48612 and find the biggest common factor number .

Step-1: Prime Factorization of 48597

Prime factors of 48597 are 3, 97, 167. Prime factorization of 48597 in exponential form is:

48597 = 3¹ × 97¹ × 167¹

Step-2: Prime Factorization of 48612

Prime factors of 48612 are 2, 3, 4051. Prime factorization of 48612 in exponential form is:

48612 = 2² × 3¹ × 4051¹

Step-3: Factors of 48597

List of positive integer factors of 48597 that divides 48597 without a remainder.

1, 3, 97, 167, 291, 501, 16199

Step-4: Factors of 48612

List of positive integer factors of 48612 that divides 48597 without a remainder.

1, 2, 3, 4, 6, 12, 4051, 8102, 12153, 16204, 24306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48597 and 48612. The biggest common factor number is the GCF number.
So the greatest common factor 48597 and 48612 is 3.

Also check out the Least Common Multiple of 48597 and 48612