What is the Greatest Common Factor of 63536 and 63542?

Greatest common factor (GCF) of 63536 and 63542 is 2.

GCF(63536,63542) = 2

We will now calculate the prime factors of 63536 and 63542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63536 and 63542.

How to find the GCF of 63536 and 63542?

We will first find the prime factorization of 63536 and 63542. After we will calculate the factors of 63536 and 63542 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 63542

Prime factors of 63542 are 2, 31771. Prime factorization of 63542 in exponential form is:

63542 = 2¹ × 31771¹

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 63542

List of positive integer factors of 63542 that divides 63536 without a remainder.

1, 2, 31771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63536 and 63542. The biggest common factor number is the GCF number.
So the greatest common factor 63536 and 63542 is 2.

Also check out the Least Common Multiple of 63536 and 63542