What is the Greatest Common Factor of 63690 and 63702?

Greatest common factor (GCF) of 63690 and 63702 is 6.

GCF(63690,63702) = 6

We will now calculate the prime factors of 63690 and 63702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63690 and 63702.

How to find the GCF of 63690 and 63702?

We will first find the prime factorization of 63690 and 63702. After we will calculate the factors of 63690 and 63702 and find the biggest common factor number .

Step-1: Prime Factorization of 63690

Prime factors of 63690 are 2, 3, 5, 11, 193. Prime factorization of 63690 in exponential form is:

63690 = 2¹ × 3¹ × 5¹ × 11¹ × 193¹

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 63690

List of positive integer factors of 63690 that divides 63690 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 193, 330, 386, 579, 965, 1158, 1930, 2123, 2895, 4246, 5790, 6369, 10615, 12738, 21230, 31845

Step-4: Factors of 63702

List of positive integer factors of 63702 that divides 63690 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 63690 and 63702. The biggest common factor number is the GCF number.
So the greatest common factor 63690 and 63702 is 6.

Also check out the Least Common Multiple of 63690 and 63702