What is the Greatest Common Factor of 63686 and 63704?

Greatest common factor (GCF) of 63686 and 63704 is 2.

GCF(63686,63704) = 2

We will now calculate the prime factors of 63686 and 63704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63686 and 63704.

How to find the GCF of 63686 and 63704?

We will first find the prime factorization of 63686 and 63704. After we will calculate the factors of 63686 and 63704 and find the biggest common factor number .

Step-1: Prime Factorization of 63686

Prime factors of 63686 are 2, 7, 4549. Prime factorization of 63686 in exponential form is:

63686 = 2¹ × 7¹ × 4549¹

Step-2: Prime Factorization of 63704

Prime factors of 63704 are 2, 7963. Prime factorization of 63704 in exponential form is:

63704 = 2³ × 7963¹

Step-3: Factors of 63686

List of positive integer factors of 63686 that divides 63686 without a remainder.

1, 2, 7, 14, 4549, 9098, 31843

Step-4: Factors of 63704

List of positive integer factors of 63704 that divides 63686 without a remainder.

1, 2, 4, 8, 7963, 15926, 31852

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63686 and 63704. The biggest common factor number is the GCF number.
So the greatest common factor 63686 and 63704 is 2.

Also check out the Least Common Multiple of 63686 and 63704