What is the Greatest Common Factor of 56460 and 56480?

Greatest common factor (GCF) of 56460 and 56480 is 20.

GCF(56460,56480) = 20

We will now calculate the prime factors of 56460 and 56480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56460 and 56480.

How to find the GCF of 56460 and 56480?

We will first find the prime factorization of 56460 and 56480. After we will calculate the factors of 56460 and 56480 and find the biggest common factor number .

Step-1: Prime Factorization of 56460

Prime factors of 56460 are 2, 3, 5, 941. Prime factorization of 56460 in exponential form is:

56460 = 2² × 3¹ × 5¹ × 941¹

Step-2: Prime Factorization of 56480

Prime factors of 56480 are 2, 5, 353. Prime factorization of 56480 in exponential form is:

56480 = 2⁵ × 5¹ × 353¹

Step-3: Factors of 56460

List of positive integer factors of 56460 that divides 56460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 941, 1882, 2823, 3764, 4705, 5646, 9410, 11292, 14115, 18820, 28230

Step-4: Factors of 56480

List of positive integer factors of 56480 that divides 56460 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 353, 706, 1412, 1765, 2824, 3530, 5648, 7060, 11296, 14120, 28240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56460 and 56480. The biggest common factor number is the GCF number.
So the greatest common factor 56460 and 56480 is 20.

Also check out the Least Common Multiple of 56460 and 56480