What is the Greatest Common Factor of 48459 and 48477?

Greatest common factor (GCF) of 48459 and 48477 is 3.

GCF(48459,48477) = 3

We will now calculate the prime factors of 48459 and 48477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48459 and 48477.

How to find the GCF of 48459 and 48477?

We will first find the prime factorization of 48459 and 48477. After we will calculate the factors of 48459 and 48477 and find the biggest common factor number .

Step-1: Prime Factorization of 48459

Prime factors of 48459 are 3, 29, 557. Prime factorization of 48459 in exponential form is:

48459 = 3¹ × 29¹ × 557¹

Step-2: Prime Factorization of 48477

Prime factors of 48477 are 3, 11, 13, 113. Prime factorization of 48477 in exponential form is:

48477 = 3¹ × 11¹ × 13¹ × 113¹

Step-3: Factors of 48459

List of positive integer factors of 48459 that divides 48459 without a remainder.

1, 3, 29, 87, 557, 1671, 16153

Step-4: Factors of 48477

List of positive integer factors of 48477 that divides 48459 without a remainder.

1, 3, 11, 13, 33, 39, 113, 143, 339, 429, 1243, 1469, 3729, 4407, 16159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48459 and 48477. The biggest common factor number is the GCF number.
So the greatest common factor 48459 and 48477 is 3.

Also check out the Least Common Multiple of 48459 and 48477