What is the Greatest Common Factor of 52563 and 52567?

Greatest common factor (GCF) of 52563 and 52567 is 1.

GCF(52563,52567) = 1

We will now calculate the prime factors of 52563 and 52567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52563 and 52567.

How to find the GCF of 52563 and 52567?

We will first find the prime factorization of 52563 and 52567. After we will calculate the factors of 52563 and 52567 and find the biggest common factor number .

Step-1: Prime Factorization of 52563

Prime factors of 52563 are 3, 7, 2503. Prime factorization of 52563 in exponential form is:

52563 = 3¹ × 7¹ × 2503¹

Step-2: Prime Factorization of 52567

Prime factors of 52567 are 52567. Prime factorization of 52567 in exponential form is:

52567 = 52567¹

Step-3: Factors of 52563

List of positive integer factors of 52563 that divides 52563 without a remainder.

1, 3, 7, 21, 2503, 7509, 17521

Step-4: Factors of 52567

List of positive integer factors of 52567 that divides 52563 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52563 and 52567. The biggest common factor number is the GCF number.
So the greatest common factor 52563 and 52567 is 1.

Also check out the Least Common Multiple of 52563 and 52567