What is the Greatest Common Factor of 54837 and 54852?

Greatest common factor (GCF) of 54837 and 54852 is 3.

GCF(54837,54852) = 3

We will now calculate the prime factors of 54837 and 54852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54837 and 54852.

How to find the GCF of 54837 and 54852?

We will first find the prime factorization of 54837 and 54852. After we will calculate the factors of 54837 and 54852 and find the biggest common factor number .

Step-1: Prime Factorization of 54837

Prime factors of 54837 are 3, 677. Prime factorization of 54837 in exponential form is:

54837 = 3⁴ × 677¹

Step-2: Prime Factorization of 54852

Prime factors of 54852 are 2, 3, 7, 653. Prime factorization of 54852 in exponential form is:

54852 = 2² × 3¹ × 7¹ × 653¹

Step-3: Factors of 54837

List of positive integer factors of 54837 that divides 54837 without a remainder.

1, 3, 9, 27, 81, 677, 2031, 6093, 18279

Step-4: Factors of 54852

List of positive integer factors of 54852 that divides 54837 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 653, 1306, 1959, 2612, 3918, 4571, 7836, 9142, 13713, 18284, 27426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54837 and 54852. The biggest common factor number is the GCF number.
So the greatest common factor 54837 and 54852 is 3.

Also check out the Least Common Multiple of 54837 and 54852