What is the Greatest Common Factor of 63858 and 63872?

Greatest common factor (GCF) of 63858 and 63872 is 2.

GCF(63858,63872) = 2

We will now calculate the prime factors of 63858 and 63872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63858 and 63872.

How to find the GCF of 63858 and 63872?

We will first find the prime factorization of 63858 and 63872. After we will calculate the factors of 63858 and 63872 and find the biggest common factor number .

Step-1: Prime Factorization of 63858

Prime factors of 63858 are 2, 3, 29, 367. Prime factorization of 63858 in exponential form is:

63858 = 2¹ × 3¹ × 29¹ × 367¹

Step-2: Prime Factorization of 63872

Prime factors of 63872 are 2, 499. Prime factorization of 63872 in exponential form is:

63872 = 2⁷ × 499¹

Step-3: Factors of 63858

List of positive integer factors of 63858 that divides 63858 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 367, 734, 1101, 2202, 10643, 21286, 31929

Step-4: Factors of 63872

List of positive integer factors of 63872 that divides 63858 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 499, 998, 1996, 3992, 7984, 15968, 31936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63858 and 63872. The biggest common factor number is the GCF number.
So the greatest common factor 63858 and 63872 is 2.

Also check out the Least Common Multiple of 63858 and 63872