What is the Greatest Common Factor of 63684 and 63702?

Greatest common factor (GCF) of 63684 and 63702 is 18.

GCF(63684,63702) = 18

We will now calculate the prime factors of 63684 and 63702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63684 and 63702.

How to find the GCF of 63684 and 63702?

We will first find the prime factorization of 63684 and 63702. After we will calculate the factors of 63684 and 63702 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 63702

Prime factors of 63702 are 2, 3, 3539. Prime factorization of 63702 in exponential form is:

63702 = 2¹ × 3² × 3539¹

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 63702

List of positive integer factors of 63702 that divides 63684 without a remainder.

1, 2, 3, 6, 9, 18, 3539, 7078, 10617, 21234, 31851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63684 and 63702. The biggest common factor number is the GCF number.
So the greatest common factor 63684 and 63702 is 18.

Also check out the Least Common Multiple of 63684 and 63702