What is the Greatest Common Factor of 55460 and 55465?

Greatest common factor (GCF) of 55460 and 55465 is 5.

GCF(55460,55465) = 5

We will now calculate the prime factors of 55460 and 55465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55460 and 55465.

How to find the GCF of 55460 and 55465?

We will first find the prime factorization of 55460 and 55465. After we will calculate the factors of 55460 and 55465 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 55465

Prime factors of 55465 are 5, 11093. Prime factorization of 55465 in exponential form is:

55465 = 5¹ × 11093¹

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 55465

List of positive integer factors of 55465 that divides 55460 without a remainder.

1, 5, 11093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55460 and 55465. The biggest common factor number is the GCF number.
So the greatest common factor 55460 and 55465 is 5.

Also check out the Least Common Multiple of 55460 and 55465