What is the Greatest Common Factor of 63897 and 63916?

Greatest common factor (GCF) of 63897 and 63916 is 19.

GCF(63897,63916) = 19

We will now calculate the prime factors of 63897 and 63916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63897 and 63916.

How to find the GCF of 63897 and 63916?

We will first find the prime factorization of 63897 and 63916. After we will calculate the factors of 63897 and 63916 and find the biggest common factor number .

Step-1: Prime Factorization of 63897

Prime factors of 63897 are 3, 19, 59. Prime factorization of 63897 in exponential form is:

63897 = 3¹ × 19² × 59¹

Step-2: 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-3: Factors of 63897

List of positive integer factors of 63897 that divides 63897 without a remainder.

1, 3, 19, 57, 59, 177, 361, 1083, 1121, 3363, 21299

Step-4: Factors of 63916

List of positive integer factors of 63916 that divides 63897 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63897 and 63916. The biggest common factor number is the GCF number.
So the greatest common factor 63897 and 63916 is 19.

Also check out the Least Common Multiple of 63897 and 63916