What is the Greatest Common Factor of 63684 and 63694?

Greatest common factor (GCF) of 63684 and 63694 is 2.

GCF(63684,63694) = 2

We will now calculate the prime factors of 63684 and 63694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63684 and 63694.

How to find the GCF of 63684 and 63694?

We will first find the prime factorization of 63684 and 63694. After we will calculate the factors of 63684 and 63694 and find the biggest common factor number .

Step-1: Prime Factorization of 63684

Prime factors of 63684 are 2, 3, 29, 61. Prime factorization of 63684 in exponential form is:

63684 = 2² × 3² × 29¹ × 61¹

Step-2: Prime Factorization of 63694

Prime factors of 63694 are 2, 31847. Prime factorization of 63694 in exponential form is:

63694 = 2¹ × 31847¹

Step-3: Factors of 63684

List of positive integer factors of 63684 that divides 63684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 61, 87, 116, 122, 174, 183, 244, 261, 348, 366, 522, 549, 732, 1044, 1098, 1769, 2196, 3538, 5307, 7076, 10614, 15921, 21228, 31842

Step-4: Factors of 63694

List of positive integer factors of 63694 that divides 63684 without a remainder.

1, 2, 31847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63684 and 63694. The biggest common factor number is the GCF number.
So the greatest common factor 63684 and 63694 is 2.

Also check out the Least Common Multiple of 63684 and 63694