What is the Greatest Common Factor of 56264 and 56282?

Greatest common factor (GCF) of 56264 and 56282 is 2.

GCF(56264,56282) = 2

We will now calculate the prime factors of 56264 and 56282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56264 and 56282.

How to find the GCF of 56264 and 56282?

We will first find the prime factorization of 56264 and 56282. After we will calculate the factors of 56264 and 56282 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 56282

Prime factors of 56282 are 2, 107, 263. Prime factorization of 56282 in exponential form is:

56282 = 2¹ × 107¹ × 263¹

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 56282

List of positive integer factors of 56282 that divides 56264 without a remainder.

1, 2, 107, 214, 263, 526, 28141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56264 and 56282. The biggest common factor number is the GCF number.
So the greatest common factor 56264 and 56282 is 2.

Also check out the Least Common Multiple of 56264 and 56282