What is the Greatest Common Factor of 48489 and 48495?

Greatest common factor (GCF) of 48489 and 48495 is 3.

GCF(48489,48495) = 3

We will now calculate the prime factors of 48489 and 48495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48489 and 48495.

How to find the GCF of 48489 and 48495?

We will first find the prime factorization of 48489 and 48495. After we will calculate the factors of 48489 and 48495 and find the biggest common factor number .

Step-1: Prime Factorization of 48489

Prime factors of 48489 are 3, 7, 2309. Prime factorization of 48489 in exponential form is:

48489 = 3¹ × 7¹ × 2309¹

Step-2: Prime Factorization of 48495

Prime factors of 48495 are 3, 5, 53, 61. Prime factorization of 48495 in exponential form is:

48495 = 3¹ × 5¹ × 53¹ × 61¹

Step-3: Factors of 48489

List of positive integer factors of 48489 that divides 48489 without a remainder.

1, 3, 7, 21, 2309, 6927, 16163

Step-4: Factors of 48495

List of positive integer factors of 48495 that divides 48489 without a remainder.

1, 3, 5, 15, 53, 61, 159, 183, 265, 305, 795, 915, 3233, 9699, 16165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48489 and 48495. The biggest common factor number is the GCF number.
So the greatest common factor 48489 and 48495 is 3.

Also check out the Least Common Multiple of 48489 and 48495