What is the Greatest Common Factor of 54065 and 54076?

Greatest common factor (GCF) of 54065 and 54076 is 11.

GCF(54065,54076) = 11

We will now calculate the prime factors of 54065 and 54076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54065 and 54076.

How to find the GCF of 54065 and 54076?

We will first find the prime factorization of 54065 and 54076. After we will calculate the factors of 54065 and 54076 and find the biggest common factor number .

Step-1: Prime Factorization of 54065

Prime factors of 54065 are 5, 11, 983. Prime factorization of 54065 in exponential form is:

54065 = 5¹ × 11¹ × 983¹

Step-2: Prime Factorization of 54076

Prime factors of 54076 are 2, 11, 1229. Prime factorization of 54076 in exponential form is:

54076 = 2² × 11¹ × 1229¹

Step-3: Factors of 54065

List of positive integer factors of 54065 that divides 54065 without a remainder.

1, 5, 11, 55, 983, 4915, 10813

Step-4: Factors of 54076

List of positive integer factors of 54076 that divides 54065 without a remainder.

1, 2, 4, 11, 22, 44, 1229, 2458, 4916, 13519, 27038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54065 and 54076. The biggest common factor number is the GCF number.
So the greatest common factor 54065 and 54076 is 11.

Also check out the Least Common Multiple of 54065 and 54076