What is the Greatest Common Factor of 63409 and 63428?

Greatest common factor (GCF) of 63409 and 63428 is 1.

GCF(63409,63428) = 1

We will now calculate the prime factors of 63409 and 63428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63409 and 63428.

How to find the GCF of 63409 and 63428?

We will first find the prime factorization of 63409 and 63428. After we will calculate the factors of 63409 and 63428 and find the biggest common factor number .

Step-1: Prime Factorization of 63409

Prime factors of 63409 are 63409. Prime factorization of 63409 in exponential form is:

63409 = 63409¹

Step-2: 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-3: Factors of 63409

List of positive integer factors of 63409 that divides 63409 without a remainder.

Step-4: Factors of 63428

List of positive integer factors of 63428 that divides 63409 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63409 and 63428. The biggest common factor number is the GCF number.
So the greatest common factor 63409 and 63428 is 1.

Also check out the Least Common Multiple of 63409 and 63428