What is the Greatest Common Factor of 55460 and 55467?

Greatest common factor (GCF) of 55460 and 55467 is 1.

GCF(55460,55467) = 1

We will now calculate the prime factors of 55460 and 55467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55460 and 55467.

How to find the GCF of 55460 and 55467?

We will first find the prime factorization of 55460 and 55467. After we will calculate the factors of 55460 and 55467 and find the biggest common factor number .

Step-1: Prime Factorization of 55460

Prime factors of 55460 are 2, 5, 47, 59. Prime factorization of 55460 in exponential form is:

55460 = 2² × 5¹ × 47¹ × 59¹

Step-2: Prime Factorization of 55467

Prime factors of 55467 are 3, 6163. Prime factorization of 55467 in exponential form is:

55467 = 3² × 6163¹

Step-3: Factors of 55460

List of positive integer factors of 55460 that divides 55460 without a remainder.

1, 2, 4, 5, 10, 20, 47, 59, 94, 118, 188, 235, 236, 295, 470, 590, 940, 1180, 2773, 5546, 11092, 13865, 27730

Step-4: Factors of 55467

List of positive integer factors of 55467 that divides 55460 without a remainder.

1, 3, 9, 6163, 18489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55460 and 55467. The biggest common factor number is the GCF number.
So the greatest common factor 55460 and 55467 is 1.

Also check out the Least Common Multiple of 55460 and 55467