What is the Greatest Common Factor of 56264 and 56281?

Greatest common factor (GCF) of 56264 and 56281 is 1.

GCF(56264,56281) = 1

We will now calculate the prime factors of 56264 and 56281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56264 and 56281.

How to find the GCF of 56264 and 56281?

We will first find the prime factorization of 56264 and 56281. After we will calculate the factors of 56264 and 56281 and find the biggest common factor number .

Step-1: Prime Factorization of 56264

Prime factors of 56264 are 2, 13, 541. Prime factorization of 56264 in exponential form is:

56264 = 2³ × 13¹ × 541¹

Step-2: Prime Factorization of 56281

Prime factors of 56281 are 23, 2447. Prime factorization of 56281 in exponential form is:

56281 = 23¹ × 2447¹

Step-3: Factors of 56264

List of positive integer factors of 56264 that divides 56264 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 541, 1082, 2164, 4328, 7033, 14066, 28132

Step-4: Factors of 56281

List of positive integer factors of 56281 that divides 56264 without a remainder.

1, 23, 2447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56264 and 56281. The biggest common factor number is the GCF number.
So the greatest common factor 56264 and 56281 is 1.

Also check out the Least Common Multiple of 56264 and 56281