What is the Greatest Common Factor of 52244 and 52256?

Greatest common factor (GCF) of 52244 and 52256 is 4.

GCF(52244,52256) = 4

We will now calculate the prime factors of 52244 and 52256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52244 and 52256.

How to find the GCF of 52244 and 52256?

We will first find the prime factorization of 52244 and 52256. After we will calculate the factors of 52244 and 52256 and find the biggest common factor number .

Step-1: Prime Factorization of 52244

Prime factors of 52244 are 2, 37, 353. Prime factorization of 52244 in exponential form is:

52244 = 2² × 37¹ × 353¹

Step-2: Prime Factorization of 52256

Prime factors of 52256 are 2, 23, 71. Prime factorization of 52256 in exponential form is:

52256 = 2⁵ × 23¹ × 71¹

Step-3: Factors of 52244

List of positive integer factors of 52244 that divides 52244 without a remainder.

1, 2, 4, 37, 74, 148, 353, 706, 1412, 13061, 26122

Step-4: Factors of 52256

List of positive integer factors of 52256 that divides 52244 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 71, 92, 142, 184, 284, 368, 568, 736, 1136, 1633, 2272, 3266, 6532, 13064, 26128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52244 and 52256. The biggest common factor number is the GCF number.
So the greatest common factor 52244 and 52256 is 4.

Also check out the Least Common Multiple of 52244 and 52256