What is the Greatest Common Factor of 55470 and 55475?

Greatest common factor (GCF) of 55470 and 55475 is 5.

GCF(55470,55475) = 5

We will now calculate the prime factors of 55470 and 55475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55470 and 55475.

How to find the GCF of 55470 and 55475?

We will first find the prime factorization of 55470 and 55475. After we will calculate the factors of 55470 and 55475 and find the biggest common factor number .

Step-1: Prime Factorization of 55470

Prime factors of 55470 are 2, 3, 5, 43. Prime factorization of 55470 in exponential form is:

55470 = 2¹ × 3¹ × 5¹ × 43²

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 55470

List of positive integer factors of 55470 that divides 55470 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290, 1849, 3698, 5547, 9245, 11094, 18490, 27735

Step-4: Factors of 55475

List of positive integer factors of 55475 that divides 55470 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 55470 and 55475. The biggest common factor number is the GCF number.
So the greatest common factor 55470 and 55475 is 5.

Also check out the Least Common Multiple of 55470 and 55475