What is the Greatest Common Factor of 52545 and 52563?

Greatest common factor (GCF) of 52545 and 52563 is 3.

GCF(52545,52563) = 3

We will now calculate the prime factors of 52545 and 52563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52545 and 52563.

How to find the GCF of 52545 and 52563?

We will first find the prime factorization of 52545 and 52563. After we will calculate the factors of 52545 and 52563 and find the biggest common factor number .

Step-1: Prime Factorization of 52545

Prime factors of 52545 are 3, 5, 31, 113. Prime factorization of 52545 in exponential form is:

52545 = 3¹ × 5¹ × 31¹ × 113¹

Step-2: 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-3: Factors of 52545

List of positive integer factors of 52545 that divides 52545 without a remainder.

1, 3, 5, 15, 31, 93, 113, 155, 339, 465, 565, 1695, 3503, 10509, 17515

Step-4: Factors of 52563

List of positive integer factors of 52563 that divides 52545 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52545 and 52563. The biggest common factor number is the GCF number.
So the greatest common factor 52545 and 52563 is 3.

Also check out the Least Common Multiple of 52545 and 52563