What is the Greatest Common Factor of 54456 and 54475?

Greatest common factor (GCF) of 54456 and 54475 is 1.

GCF(54456,54475) = 1

We will now calculate the prime factors of 54456 and 54475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54456 and 54475.

How to find the GCF of 54456 and 54475?

We will first find the prime factorization of 54456 and 54475. After we will calculate the factors of 54456 and 54475 and find the biggest common factor number .

Step-1: Prime Factorization of 54456

Prime factors of 54456 are 2, 3, 2269. Prime factorization of 54456 in exponential form is:

54456 = 2³ × 3¹ × 2269¹

Step-2: Prime Factorization of 54475

Prime factors of 54475 are 5, 2179. Prime factorization of 54475 in exponential form is:

54475 = 5² × 2179¹

Step-3: Factors of 54456

List of positive integer factors of 54456 that divides 54456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2269, 4538, 6807, 9076, 13614, 18152, 27228

Step-4: Factors of 54475

List of positive integer factors of 54475 that divides 54456 without a remainder.

1, 5, 25, 2179, 10895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54456 and 54475. The biggest common factor number is the GCF number.
So the greatest common factor 54456 and 54475 is 1.

Also check out the Least Common Multiple of 54456 and 54475