What is the Greatest Common Factor of 55470 and 55490?

Greatest common factor (GCF) of 55470 and 55490 is 10.

GCF(55470,55490) = 10

We will now calculate the prime factors of 55470 and 55490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55470 and 55490.

How to find the GCF of 55470 and 55490?

We will first find the prime factorization of 55470 and 55490. After we will calculate the factors of 55470 and 55490 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 55490

Prime factors of 55490 are 2, 5, 31, 179. Prime factorization of 55490 in exponential form is:

55490 = 2¹ × 5¹ × 31¹ × 179¹

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 55490

List of positive integer factors of 55490 that divides 55470 without a remainder.

1, 2, 5, 10, 31, 62, 155, 179, 310, 358, 895, 1790, 5549, 11098, 27745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55470 and 55490. The biggest common factor number is the GCF number.
So the greatest common factor 55470 and 55490 is 10.

Also check out the Least Common Multiple of 55470 and 55490