What is the Greatest Common Factor of 63868 and 63875?

Greatest common factor (GCF) of 63868 and 63875 is 7.

GCF(63868,63875) = 7

We will now calculate the prime factors of 63868 and 63875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63868 and 63875.

How to find the GCF of 63868 and 63875?

We will first find the prime factorization of 63868 and 63875. After we will calculate the factors of 63868 and 63875 and find the biggest common factor number .

Step-1: Prime Factorization of 63868

Prime factors of 63868 are 2, 7, 2281. Prime factorization of 63868 in exponential form is:

63868 = 2² × 7¹ × 2281¹

Step-2: Prime Factorization of 63875

Prime factors of 63875 are 5, 7, 73. Prime factorization of 63875 in exponential form is:

63875 = 5³ × 7¹ × 73¹

Step-3: Factors of 63868

List of positive integer factors of 63868 that divides 63868 without a remainder.

1, 2, 4, 7, 14, 28, 2281, 4562, 9124, 15967, 31934

Step-4: Factors of 63875

List of positive integer factors of 63875 that divides 63868 without a remainder.

1, 5, 7, 25, 35, 73, 125, 175, 365, 511, 875, 1825, 2555, 9125, 12775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63868 and 63875. The biggest common factor number is the GCF number.
So the greatest common factor 63868 and 63875 is 7.

Also check out the Least Common Multiple of 63868 and 63875