What is the Greatest Common Factor of 63525 and 63536?

Greatest common factor (GCF) of 63525 and 63536 is 11.

GCF(63525,63536) = 11

We will now calculate the prime factors of 63525 and 63536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63525 and 63536.

How to find the GCF of 63525 and 63536?

We will first find the prime factorization of 63525 and 63536. After we will calculate the factors of 63525 and 63536 and find the biggest common factor number .

Step-1: Prime Factorization of 63525

Prime factors of 63525 are 3, 5, 7, 11. Prime factorization of 63525 in exponential form is:

63525 = 3¹ × 5² × 7¹ × 11²

Step-2: Prime Factorization of 63536

Prime factors of 63536 are 2, 11, 19. Prime factorization of 63536 in exponential form is:

63536 = 2⁴ × 11¹ × 19²

Step-3: Factors of 63525

List of positive integer factors of 63525 that divides 63525 without a remainder.

1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 55, 75, 77, 105, 121, 165, 175, 231, 275, 363, 385, 525, 605, 825, 847, 1155, 1815, 1925, 2541, 3025, 4235, 5775, 9075, 12705, 21175

Step-4: Factors of 63536

List of positive integer factors of 63536 that divides 63525 without a remainder.

1, 2, 4, 8, 11, 16, 19, 22, 38, 44, 76, 88, 152, 176, 209, 304, 361, 418, 722, 836, 1444, 1672, 2888, 3344, 3971, 5776, 7942, 15884, 31768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63525 and 63536. The biggest common factor number is the GCF number.
So the greatest common factor 63525 and 63536 is 11.

Also check out the Least Common Multiple of 63525 and 63536