What is the Greatest Common Factor of 63400 and 63416?

Greatest common factor (GCF) of 63400 and 63416 is 8.

GCF(63400,63416) = 8

We will now calculate the prime factors of 63400 and 63416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63400 and 63416.

How to find the GCF of 63400 and 63416?

We will first find the prime factorization of 63400 and 63416. After we will calculate the factors of 63400 and 63416 and find the biggest common factor number .

Step-1: Prime Factorization of 63400

Prime factors of 63400 are 2, 5, 317. Prime factorization of 63400 in exponential form is:

63400 = 2³ × 5² × 317¹

Step-2: Prime Factorization of 63416

Prime factors of 63416 are 2, 7927. Prime factorization of 63416 in exponential form is:

63416 = 2³ × 7927¹

Step-3: Factors of 63400

List of positive integer factors of 63400 that divides 63400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 317, 634, 1268, 1585, 2536, 3170, 6340, 7925, 12680, 15850, 31700

Step-4: Factors of 63416

List of positive integer factors of 63416 that divides 63400 without a remainder.

1, 2, 4, 8, 7927, 15854, 31708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63400 and 63416. The biggest common factor number is the GCF number.
So the greatest common factor 63400 and 63416 is 8.

Also check out the Least Common Multiple of 63400 and 63416