What is the Greatest Common Factor of 63428 and 63446?

Greatest common factor (GCF) of 63428 and 63446 is 2.

GCF(63428,63446) = 2

We will now calculate the prime factors of 63428 and 63446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63428 and 63446.

How to find the GCF of 63428 and 63446?

We will first find the prime factorization of 63428 and 63446. After we will calculate the factors of 63428 and 63446 and find the biggest common factor number .

Step-1: Prime Factorization of 63428

Prime factors of 63428 are 2, 101, 157. Prime factorization of 63428 in exponential form is:

63428 = 2² × 101¹ × 157¹

Step-2: Prime Factorization of 63446

Prime factors of 63446 are 2, 31723. Prime factorization of 63446 in exponential form is:

63446 = 2¹ × 31723¹

Step-3: Factors of 63428

List of positive integer factors of 63428 that divides 63428 without a remainder.

1, 2, 4, 101, 157, 202, 314, 404, 628, 15857, 31714

Step-4: Factors of 63446

List of positive integer factors of 63446 that divides 63428 without a remainder.

1, 2, 31723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63428 and 63446. The biggest common factor number is the GCF number.
So the greatest common factor 63428 and 63446 is 2.

Also check out the Least Common Multiple of 63428 and 63446