What is the Greatest Common Factor of 63343 and 63359?

Greatest common factor (GCF) of 63343 and 63359 is 1.

GCF(63343,63359) = 1

We will now calculate the prime factors of 63343 and 63359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63343 and 63359.

How to find the GCF of 63343 and 63359?

We will first find the prime factorization of 63343 and 63359. After we will calculate the factors of 63343 and 63359 and find the biggest common factor number .

Step-1: Prime Factorization of 63343

Prime factors of 63343 are 7, 9049. Prime factorization of 63343 in exponential form is:

63343 = 7¹ × 9049¹

Step-2: Prime Factorization of 63359

Prime factors of 63359 are 17, 3727. Prime factorization of 63359 in exponential form is:

63359 = 17¹ × 3727¹

Step-3: Factors of 63343

List of positive integer factors of 63343 that divides 63343 without a remainder.

1, 7, 9049

Step-4: Factors of 63359

List of positive integer factors of 63359 that divides 63343 without a remainder.

1, 17, 3727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63343 and 63359. The biggest common factor number is the GCF number.
So the greatest common factor 63343 and 63359 is 1.

Also check out the Least Common Multiple of 63343 and 63359