What is the Greatest Common Factor of 54124 and 54129?

Greatest common factor (GCF) of 54124 and 54129 is 1.

GCF(54124,54129) = 1

We will now calculate the prime factors of 54124 and 54129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54124 and 54129.

How to find the GCF of 54124 and 54129?

We will first find the prime factorization of 54124 and 54129. After we will calculate the factors of 54124 and 54129 and find the biggest common factor number .

Step-1: Prime Factorization of 54124

Prime factors of 54124 are 2, 7, 1933. Prime factorization of 54124 in exponential form is:

54124 = 2² × 7¹ × 1933¹

Step-2: Prime Factorization of 54129

Prime factors of 54129 are 3, 18043. Prime factorization of 54129 in exponential form is:

54129 = 3¹ × 18043¹

Step-3: Factors of 54124

List of positive integer factors of 54124 that divides 54124 without a remainder.

1, 2, 4, 7, 14, 28, 1933, 3866, 7732, 13531, 27062

Step-4: Factors of 54129

List of positive integer factors of 54129 that divides 54124 without a remainder.

1, 3, 18043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54124 and 54129. The biggest common factor number is the GCF number.
So the greatest common factor 54124 and 54129 is 1.

Also check out the Least Common Multiple of 54124 and 54129