What is the Greatest Common Factor of 63684 and 63691?

Greatest common factor (GCF) of 63684 and 63691 is 1.

GCF(63684,63691) = 1

We will now calculate the prime factors of 63684 and 63691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63684 and 63691.

How to find the GCF of 63684 and 63691?

We will first find the prime factorization of 63684 and 63691. After we will calculate the factors of 63684 and 63691 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 63691

Prime factors of 63691 are 63691. Prime factorization of 63691 in exponential form is:

63691 = 63691¹

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 63691

List of positive integer factors of 63691 that divides 63684 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63684 and 63691. The biggest common factor number is the GCF number.
So the greatest common factor 63684 and 63691 is 1.

Also check out the Least Common Multiple of 63684 and 63691