What is the Greatest Common Factor of 55460 and 55470?

Greatest common factor (GCF) of 55460 and 55470 is 10.

GCF(55460,55470) = 10

We will now calculate the prime factors of 55460 and 55470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55460 and 55470.

How to find the GCF of 55460 and 55470?

We will first find the prime factorization of 55460 and 55470. After we will calculate the factors of 55460 and 55470 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 55470

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

55470 = 2¹ × 3¹ × 5¹ × 43²

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 55470

List of positive integer factors of 55470 that divides 55460 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55460 and 55470. The biggest common factor number is the GCF number.
So the greatest common factor 55460 and 55470 is 10.

Also check out the Least Common Multiple of 55460 and 55470