What is the Greatest Common Factor of 63916 and 63930?

Greatest common factor (GCF) of 63916 and 63930 is 2.

GCF(63916,63930) = 2

We will now calculate the prime factors of 63916 and 63930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63916 and 63930.

How to find the GCF of 63916 and 63930?

We will first find the prime factorization of 63916 and 63930. After we will calculate the factors of 63916 and 63930 and find the biggest common factor number .

Step-1: Prime Factorization of 63916

Prime factors of 63916 are 2, 19, 29. Prime factorization of 63916 in exponential form is:

63916 = 2² × 19¹ × 29²

Step-2: 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-3: Factors of 63916

List of positive integer factors of 63916 that divides 63916 without a remainder.

1, 2, 4, 19, 29, 38, 58, 76, 116, 551, 841, 1102, 1682, 2204, 3364, 15979, 31958

Step-4: Factors of 63930

List of positive integer factors of 63930 that divides 63916 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63916 and 63930. The biggest common factor number is the GCF number.
So the greatest common factor 63916 and 63930 is 2.

Also check out the Least Common Multiple of 63916 and 63930