What is the Greatest Common Factor of 63309 and 63313?

Greatest common factor (GCF) of 63309 and 63313 is 1.

GCF(63309,63313) = 1

We will now calculate the prime factors of 63309 and 63313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63309 and 63313.

How to find the GCF of 63309 and 63313?

We will first find the prime factorization of 63309 and 63313. After we will calculate the factors of 63309 and 63313 and find the biggest common factor number .

Step-1: Prime Factorization of 63309

Prime factors of 63309 are 3, 47, 449. Prime factorization of 63309 in exponential form is:

63309 = 3¹ × 47¹ × 449¹

Step-2: Prime Factorization of 63313

Prime factors of 63313 are 63313. Prime factorization of 63313 in exponential form is:

63313 = 63313¹

Step-3: Factors of 63309

List of positive integer factors of 63309 that divides 63309 without a remainder.

1, 3, 47, 141, 449, 1347, 21103

Step-4: Factors of 63313

List of positive integer factors of 63313 that divides 63309 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63309 and 63313. The biggest common factor number is the GCF number.
So the greatest common factor 63309 and 63313 is 1.

Also check out the Least Common Multiple of 63309 and 63313