What is the Greatest Common Factor of 55460 and 55475?

Greatest common factor (GCF) of 55460 and 55475 is 5.

GCF(55460,55475) = 5

We will now calculate the prime factors of 55460 and 55475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55460 and 55475.

How to find the GCF of 55460 and 55475?

We will first find the prime factorization of 55460 and 55475. After we will calculate the factors of 55460 and 55475 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 55475

Prime factors of 55475 are 5, 7, 317. Prime factorization of 55475 in exponential form is:

55475 = 5² × 7¹ × 317¹

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 55475

List of positive integer factors of 55475 that divides 55460 without a remainder.

1, 5, 7, 25, 35, 175, 317, 1585, 2219, 7925, 11095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55460 and 55475. The biggest common factor number is the GCF number.
So the greatest common factor 55460 and 55475 is 5.

Also check out the Least Common Multiple of 55460 and 55475