What is the Greatest Common Factor of 52585 and 52601?

Greatest common factor (GCF) of 52585 and 52601 is 1.

GCF(52585,52601) = 1

We will now calculate the prime factors of 52585 and 52601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52585 and 52601.

How to find the GCF of 52585 and 52601?

We will first find the prime factorization of 52585 and 52601. After we will calculate the factors of 52585 and 52601 and find the biggest common factor number .

Step-1: Prime Factorization of 52585

Prime factors of 52585 are 5, 13, 809. Prime factorization of 52585 in exponential form is:

52585 = 5¹ × 13¹ × 809¹

Step-2: Prime Factorization of 52601

Prime factors of 52601 are 23, 2287. Prime factorization of 52601 in exponential form is:

52601 = 23¹ × 2287¹

Step-3: Factors of 52585

List of positive integer factors of 52585 that divides 52585 without a remainder.

1, 5, 13, 65, 809, 4045, 10517

Step-4: Factors of 52601

List of positive integer factors of 52601 that divides 52585 without a remainder.

1, 23, 2287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52585 and 52601. The biggest common factor number is the GCF number.
So the greatest common factor 52585 and 52601 is 1.

Also check out the Least Common Multiple of 52585 and 52601