What is the Greatest Common Factor of 63728 and 63737?

Greatest common factor (GCF) of 63728 and 63737 is 1.

GCF(63728,63737) = 1

We will now calculate the prime factors of 63728 and 63737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63728 and 63737.

How to find the GCF of 63728 and 63737?

We will first find the prime factorization of 63728 and 63737. After we will calculate the factors of 63728 and 63737 and find the biggest common factor number .

Step-1: Prime Factorization of 63728

Prime factors of 63728 are 2, 7, 569. Prime factorization of 63728 in exponential form is:

63728 = 2⁴ × 7¹ × 569¹

Step-2: Prime Factorization of 63737

Prime factors of 63737 are 63737. Prime factorization of 63737 in exponential form is:

63737 = 63737¹

Step-3: Factors of 63728

List of positive integer factors of 63728 that divides 63728 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 569, 1138, 2276, 3983, 4552, 7966, 9104, 15932, 31864

Step-4: Factors of 63737

List of positive integer factors of 63737 that divides 63728 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63728 and 63737. The biggest common factor number is the GCF number.
So the greatest common factor 63728 and 63737 is 1.

Also check out the Least Common Multiple of 63728 and 63737