What is the Greatest Common Factor of 52523 and 52536?

Greatest common factor (GCF) of 52523 and 52536 is 1.

GCF(52523,52536) = 1

We will now calculate the prime factors of 52523 and 52536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52523 and 52536.

How to find the GCF of 52523 and 52536?

We will first find the prime factorization of 52523 and 52536. After we will calculate the factors of 52523 and 52536 and find the biggest common factor number .

Step-1: Prime Factorization of 52523

Prime factors of 52523 are 53, 991. Prime factorization of 52523 in exponential form is:

52523 = 53¹ × 991¹

Step-2: Prime Factorization of 52536

Prime factors of 52536 are 2, 3, 11, 199. Prime factorization of 52536 in exponential form is:

52536 = 2³ × 3¹ × 11¹ × 199¹

Step-3: Factors of 52523

List of positive integer factors of 52523 that divides 52523 without a remainder.

1, 53, 991

Step-4: Factors of 52536

List of positive integer factors of 52536 that divides 52523 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 199, 264, 398, 597, 796, 1194, 1592, 2189, 2388, 4378, 4776, 6567, 8756, 13134, 17512, 26268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52523 and 52536. The biggest common factor number is the GCF number.
So the greatest common factor 52523 and 52536 is 1.

Also check out the Least Common Multiple of 52523 and 52536