What is the Greatest Common Factor of 52256 and 52269?

Greatest common factor (GCF) of 52256 and 52269 is 1.

GCF(52256,52269) = 1

We will now calculate the prime factors of 52256 and 52269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52256 and 52269.

How to find the GCF of 52256 and 52269?

We will first find the prime factorization of 52256 and 52269. After we will calculate the factors of 52256 and 52269 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52269

Prime factors of 52269 are 3, 7, 19, 131. Prime factorization of 52269 in exponential form is:

52269 = 3¹ × 7¹ × 19¹ × 131¹

Step-3: Factors of 52256

List of positive integer factors of 52256 that divides 52256 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

Step-4: Factors of 52269

List of positive integer factors of 52269 that divides 52256 without a remainder.

1, 3, 7, 19, 21, 57, 131, 133, 393, 399, 917, 2489, 2751, 7467, 17423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52256 and 52269. The biggest common factor number is the GCF number.
So the greatest common factor 52256 and 52269 is 1.

Also check out the Least Common Multiple of 52256 and 52269