What is the Greatest Common Factor of 63874 and 63878?

Greatest common factor (GCF) of 63874 and 63878 is 2.

GCF(63874,63878) = 2

We will now calculate the prime factors of 63874 and 63878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63874 and 63878.

How to find the GCF of 63874 and 63878?

We will first find the prime factorization of 63874 and 63878. After we will calculate the factors of 63874 and 63878 and find the biggest common factor number .

Step-1: Prime Factorization of 63874

Prime factors of 63874 are 2, 109, 293. Prime factorization of 63874 in exponential form is:

63874 = 2¹ × 109¹ × 293¹

Step-2: Prime Factorization of 63878

Prime factors of 63878 are 2, 19, 41. Prime factorization of 63878 in exponential form is:

63878 = 2¹ × 19¹ × 41²

Step-3: Factors of 63874

List of positive integer factors of 63874 that divides 63874 without a remainder.

1, 2, 109, 218, 293, 586, 31937

Step-4: Factors of 63878

List of positive integer factors of 63878 that divides 63874 without a remainder.

1, 2, 19, 38, 41, 82, 779, 1558, 1681, 3362, 31939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63874 and 63878. The biggest common factor number is the GCF number.
So the greatest common factor 63874 and 63878 is 2.

Also check out the Least Common Multiple of 63874 and 63878