What is the Greatest Common Factor of 56264 and 56284?

Greatest common factor (GCF) of 56264 and 56284 is 4.

GCF(56264,56284) = 4

We will now calculate the prime factors of 56264 and 56284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56264 and 56284.

How to find the GCF of 56264 and 56284?

We will first find the prime factorization of 56264 and 56284. After we will calculate the factors of 56264 and 56284 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 56284

Prime factors of 56284 are 2, 14071. Prime factorization of 56284 in exponential form is:

56284 = 2² × 14071¹

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 56284

List of positive integer factors of 56284 that divides 56264 without a remainder.

1, 2, 4, 14071, 28142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56264 and 56284. The biggest common factor number is the GCF number.
So the greatest common factor 56264 and 56284 is 4.

Also check out the Least Common Multiple of 56264 and 56284