What is the Greatest Common Factor of 63696 and 63709?

Greatest common factor (GCF) of 63696 and 63709 is 1.

GCF(63696,63709) = 1

We will now calculate the prime factors of 63696 and 63709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63696 and 63709.

How to find the GCF of 63696 and 63709?

We will first find the prime factorization of 63696 and 63709. After we will calculate the factors of 63696 and 63709 and find the biggest common factor number .

Step-1: Prime Factorization of 63696

Prime factors of 63696 are 2, 3, 1327. Prime factorization of 63696 in exponential form is:

63696 = 2⁴ × 3¹ × 1327¹

Step-2: Prime Factorization of 63709

Prime factors of 63709 are 63709. Prime factorization of 63709 in exponential form is:

63709 = 63709¹

Step-3: Factors of 63696

List of positive integer factors of 63696 that divides 63696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1327, 2654, 3981, 5308, 7962, 10616, 15924, 21232, 31848

Step-4: Factors of 63709

List of positive integer factors of 63709 that divides 63696 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63696 and 63709. The biggest common factor number is the GCF number.
So the greatest common factor 63696 and 63709 is 1.

Also check out the Least Common Multiple of 63696 and 63709