What is the Greatest Common Factor of 63914 and 63918?

Greatest common factor (GCF) of 63914 and 63918 is 2.

GCF(63914,63918) = 2

We will now calculate the prime factors of 63914 and 63918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63914 and 63918.

How to find the GCF of 63914 and 63918?

We will first find the prime factorization of 63914 and 63918. After we will calculate the factors of 63914 and 63918 and find the biggest common factor number .

Step-1: Prime Factorization of 63914

Prime factors of 63914 are 2, 31957. Prime factorization of 63914 in exponential form is:

63914 = 2¹ × 31957¹

Step-2: Prime Factorization of 63918

Prime factors of 63918 are 2, 3, 53, 67. Prime factorization of 63918 in exponential form is:

63918 = 2¹ × 3² × 53¹ × 67¹

Step-3: Factors of 63914

List of positive integer factors of 63914 that divides 63914 without a remainder.

1, 2, 31957

Step-4: Factors of 63918

List of positive integer factors of 63918 that divides 63914 without a remainder.

1, 2, 3, 6, 9, 18, 53, 67, 106, 134, 159, 201, 318, 402, 477, 603, 954, 1206, 3551, 7102, 10653, 21306, 31959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63914 and 63918. The biggest common factor number is the GCF number.
So the greatest common factor 63914 and 63918 is 2.

Also check out the Least Common Multiple of 63914 and 63918