What is the Greatest Common Factor of 54132 and 54139?

Greatest common factor (GCF) of 54132 and 54139 is 1.

GCF(54132,54139) = 1

We will now calculate the prime factors of 54132 and 54139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54132 and 54139.

How to find the GCF of 54132 and 54139?

We will first find the prime factorization of 54132 and 54139. After we will calculate the factors of 54132 and 54139 and find the biggest common factor number .

Step-1: Prime Factorization of 54132

Prime factors of 54132 are 2, 3, 13, 347. Prime factorization of 54132 in exponential form is:

54132 = 2² × 3¹ × 13¹ × 347¹

Step-2: Prime Factorization of 54139

Prime factors of 54139 are 54139. Prime factorization of 54139 in exponential form is:

54139 = 54139¹

Step-3: Factors of 54132

List of positive integer factors of 54132 that divides 54132 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 347, 694, 1041, 1388, 2082, 4164, 4511, 9022, 13533, 18044, 27066

Step-4: Factors of 54139

List of positive integer factors of 54139 that divides 54132 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54132 and 54139. The biggest common factor number is the GCF number.
So the greatest common factor 54132 and 54139 is 1.

Also check out the Least Common Multiple of 54132 and 54139