What is the Greatest Common Factor of 54132 and 54145?

Greatest common factor (GCF) of 54132 and 54145 is 13.

GCF(54132,54145) = 13

We will now calculate the prime factors of 54132 and 54145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54132 and 54145.

How to find the GCF of 54132 and 54145?

We will first find the prime factorization of 54132 and 54145. After we will calculate the factors of 54132 and 54145 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 54145

Prime factors of 54145 are 5, 7, 13, 17. Prime factorization of 54145 in exponential form is:

54145 = 5¹ × 7² × 13¹ × 17¹

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 54145

List of positive integer factors of 54145 that divides 54132 without a remainder.

1, 5, 7, 13, 17, 35, 49, 65, 85, 91, 119, 221, 245, 455, 595, 637, 833, 1105, 1547, 3185, 4165, 7735, 10829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54132 and 54145. The biggest common factor number is the GCF number.
So the greatest common factor 54132 and 54145 is 13.

Also check out the Least Common Multiple of 54132 and 54145