What is the Greatest Common Factor of 63670 and 63690?

Greatest common factor (GCF) of 63670 and 63690 is 10.

GCF(63670,63690) = 10

We will now calculate the prime factors of 63670 and 63690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63670 and 63690.

How to find the GCF of 63670 and 63690?

We will first find the prime factorization of 63670 and 63690. After we will calculate the factors of 63670 and 63690 and find the biggest common factor number .

Step-1: Prime Factorization of 63670

Prime factors of 63670 are 2, 5, 6367. Prime factorization of 63670 in exponential form is:

63670 = 2¹ × 5¹ × 6367¹

Step-2: 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-3: Factors of 63670

List of positive integer factors of 63670 that divides 63670 without a remainder.

1, 2, 5, 10, 6367, 12734, 31835

Step-4: Factors of 63690

List of positive integer factors of 63690 that divides 63670 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63670 and 63690. The biggest common factor number is the GCF number.
So the greatest common factor 63670 and 63690 is 10.

Also check out the Least Common Multiple of 63670 and 63690