What is the Greatest Common Factor of 63536 and 63547?

Greatest common factor (GCF) of 63536 and 63547 is 11.

GCF(63536,63547) = 11

We will now calculate the prime factors of 63536 and 63547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63536 and 63547.

How to find the GCF of 63536 and 63547?

We will first find the prime factorization of 63536 and 63547. After we will calculate the factors of 63536 and 63547 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63547

Prime factors of 63547 are 11, 53, 109. Prime factorization of 63547 in exponential form is:

63547 = 11¹ × 53¹ × 109¹

Step-3: Factors of 63536

List of positive integer factors of 63536 that divides 63536 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

Step-4: Factors of 63547

List of positive integer factors of 63547 that divides 63536 without a remainder.

1, 11, 53, 109, 583, 1199, 5777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63536 and 63547. The biggest common factor number is the GCF number.
So the greatest common factor 63536 and 63547 is 11.

Also check out the Least Common Multiple of 63536 and 63547