What is the Greatest Common Factor of 63930 and 63945?

Greatest common factor (GCF) of 63930 and 63945 is 15.

GCF(63930,63945) = 15

We will now calculate the prime factors of 63930 and 63945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63930 and 63945.

How to find the GCF of 63930 and 63945?

We will first find the prime factorization of 63930 and 63945. After we will calculate the factors of 63930 and 63945 and find the biggest common factor number .

Step-1: Prime Factorization of 63930

Prime factors of 63930 are 2, 3, 5, 2131. Prime factorization of 63930 in exponential form is:

63930 = 2¹ × 3¹ × 5¹ × 2131¹

Step-2: Prime Factorization of 63945

Prime factors of 63945 are 3, 5, 7, 29. Prime factorization of 63945 in exponential form is:

63945 = 3² × 5¹ × 7² × 29¹

Step-3: Factors of 63930

List of positive integer factors of 63930 that divides 63930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2131, 4262, 6393, 10655, 12786, 21310, 31965

Step-4: Factors of 63945

List of positive integer factors of 63945 that divides 63930 without a remainder.

1, 3, 5, 7, 9, 15, 21, 29, 35, 45, 49, 63, 87, 105, 145, 147, 203, 245, 261, 315, 435, 441, 609, 735, 1015, 1305, 1421, 1827, 2205, 3045, 4263, 7105, 9135, 12789, 21315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63930 and 63945. The biggest common factor number is the GCF number.
So the greatest common factor 63930 and 63945 is 15.

Also check out the Least Common Multiple of 63930 and 63945