What is the Greatest Common Factor of 52574 and 52592?

Greatest common factor (GCF) of 52574 and 52592 is 2.

GCF(52574,52592) = 2

We will now calculate the prime factors of 52574 and 52592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52574 and 52592.

How to find the GCF of 52574 and 52592?

We will first find the prime factorization of 52574 and 52592. After we will calculate the factors of 52574 and 52592 and find the biggest common factor number .

Step-1: Prime Factorization of 52574

Prime factors of 52574 are 2, 97, 271. Prime factorization of 52574 in exponential form is:

52574 = 2¹ × 97¹ × 271¹

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 52574

List of positive integer factors of 52574 that divides 52574 without a remainder.

1, 2, 97, 194, 271, 542, 26287

Step-4: Factors of 52592

List of positive integer factors of 52592 that divides 52574 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 52574 and 52592. The biggest common factor number is the GCF number.
So the greatest common factor 52574 and 52592 is 2.

Also check out the Least Common Multiple of 52574 and 52592