What is the Greatest Common Factor of 55461 and 55470?

Greatest common factor (GCF) of 55461 and 55470 is 3.

GCF(55461,55470) = 3

We will now calculate the prime factors of 55461 and 55470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55461 and 55470.

How to find the GCF of 55461 and 55470?

We will first find the prime factorization of 55461 and 55470. After we will calculate the factors of 55461 and 55470 and find the biggest common factor number .

Step-1: Prime Factorization of 55461

Prime factors of 55461 are 3, 7, 19, 139. Prime factorization of 55461 in exponential form is:

55461 = 3¹ × 7¹ × 19¹ × 139¹

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 55461

List of positive integer factors of 55461 that divides 55461 without a remainder.

1, 3, 7, 19, 21, 57, 133, 139, 399, 417, 973, 2641, 2919, 7923, 18487

Step-4: Factors of 55470

List of positive integer factors of 55470 that divides 55461 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 55461 and 55470. The biggest common factor number is the GCF number.
So the greatest common factor 55461 and 55470 is 3.

Also check out the Least Common Multiple of 55461 and 55470