What is the Greatest Common Factor of 52576 and 52592?

Greatest common factor (GCF) of 52576 and 52592 is 16.

GCF(52576,52592) = 16

We will now calculate the prime factors of 52576 and 52592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52576 and 52592.

How to find the GCF of 52576 and 52592?

We will first find the prime factorization of 52576 and 52592. After we will calculate the factors of 52576 and 52592 and find the biggest common factor number .

Step-1: Prime Factorization of 52576

Prime factors of 52576 are 2, 31, 53. Prime factorization of 52576 in exponential form is:

52576 = 2⁵ × 31¹ × 53¹

Step-2: Prime Factorization of 52592

Prime factors of 52592 are 2, 19, 173. Prime factorization of 52592 in exponential form is:

52592 = 2⁴ × 19¹ × 173¹

Step-3: Factors of 52576

List of positive integer factors of 52576 that divides 52576 without a remainder.

1, 2, 4, 8, 16, 31, 32, 53, 62, 106, 124, 212, 248, 424, 496, 848, 992, 1643, 1696, 3286, 6572, 13144, 26288

Step-4: Factors of 52592

List of positive integer factors of 52592 that divides 52576 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 173, 304, 346, 692, 1384, 2768, 3287, 6574, 13148, 26296

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52576 and 52592. The biggest common factor number is the GCF number.
So the greatest common factor 52576 and 52592 is 16.

Also check out the Least Common Multiple of 52576 and 52592