What is the Greatest Common Factor of 56480 and 56488?

Greatest common factor (GCF) of 56480 and 56488 is 8.

GCF(56480,56488) = 8

We will now calculate the prime factors of 56480 and 56488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56480 and 56488.

How to find the GCF of 56480 and 56488?

We will first find the prime factorization of 56480 and 56488. After we will calculate the factors of 56480 and 56488 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56488

Prime factors of 56488 are 2, 23, 307. Prime factorization of 56488 in exponential form is:

56488 = 2³ × 23¹ × 307¹

Step-3: Factors of 56480

List of positive integer factors of 56480 that divides 56480 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

Step-4: Factors of 56488

List of positive integer factors of 56488 that divides 56480 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 307, 614, 1228, 2456, 7061, 14122, 28244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56480 and 56488. The biggest common factor number is the GCF number.
So the greatest common factor 56480 and 56488 is 8.

Also check out the Least Common Multiple of 56480 and 56488