What is the Greatest Common Factor of 52239 and 52256?

Greatest common factor (GCF) of 52239 and 52256 is 1.

GCF(52239,52256) = 1

We will now calculate the prime factors of 52239 and 52256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52239 and 52256.

How to find the GCF of 52239 and 52256?

We will first find the prime factorization of 52239 and 52256. After we will calculate the factors of 52239 and 52256 and find the biggest common factor number .

Step-1: Prime Factorization of 52239

Prime factors of 52239 are 3, 11, 1583. Prime factorization of 52239 in exponential form is:

52239 = 3¹ × 11¹ × 1583¹

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 52239

List of positive integer factors of 52239 that divides 52239 without a remainder.

1, 3, 11, 33, 1583, 4749, 17413

Step-4: Factors of 52256

List of positive integer factors of 52256 that divides 52239 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 52239 and 52256. The biggest common factor number is the GCF number.
So the greatest common factor 52239 and 52256 is 1.

Also check out the Least Common Multiple of 52239 and 52256