What is the Greatest Common Factor of 63418 and 63430?

Greatest common factor (GCF) of 63418 and 63430 is 2.

GCF(63418,63430) = 2

We will now calculate the prime factors of 63418 and 63430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63418 and 63430.

How to find the GCF of 63418 and 63430?

We will first find the prime factorization of 63418 and 63430. After we will calculate the factors of 63418 and 63430 and find the biggest common factor number .

Step-1: Prime Factorization of 63418

Prime factors of 63418 are 2, 37, 857. Prime factorization of 63418 in exponential form is:

63418 = 2¹ × 37¹ × 857¹

Step-2: Prime Factorization of 63430

Prime factors of 63430 are 2, 5, 6343. Prime factorization of 63430 in exponential form is:

63430 = 2¹ × 5¹ × 6343¹

Step-3: Factors of 63418

List of positive integer factors of 63418 that divides 63418 without a remainder.

1, 2, 37, 74, 857, 1714, 31709

Step-4: Factors of 63430

List of positive integer factors of 63430 that divides 63418 without a remainder.

1, 2, 5, 10, 6343, 12686, 31715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63418 and 63430. The biggest common factor number is the GCF number.
So the greatest common factor 63418 and 63430 is 2.

Also check out the Least Common Multiple of 63418 and 63430