What is the Greatest Common Factor of 52525 and 52536?

Greatest common factor (GCF) of 52525 and 52536 is 11.

GCF(52525,52536) = 11

We will now calculate the prime factors of 52525 and 52536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52525 and 52536.

How to find the GCF of 52525 and 52536?

We will first find the prime factorization of 52525 and 52536. After we will calculate the factors of 52525 and 52536 and find the biggest common factor number .

Step-1: Prime Factorization of 52525

Prime factors of 52525 are 5, 11, 191. Prime factorization of 52525 in exponential form is:

52525 = 5² × 11¹ × 191¹

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 52525

List of positive integer factors of 52525 that divides 52525 without a remainder.

1, 5, 11, 25, 55, 191, 275, 955, 2101, 4775, 10505

Step-4: Factors of 52536

List of positive integer factors of 52536 that divides 52525 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 52525 and 52536. The biggest common factor number is the GCF number.
So the greatest common factor 52525 and 52536 is 11.

Also check out the Least Common Multiple of 52525 and 52536