What is the Greatest Common Factor of 63306 and 63313?

Greatest common factor (GCF) of 63306 and 63313 is 1.

GCF(63306,63313) = 1

We will now calculate the prime factors of 63306 and 63313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63306 and 63313.

How to find the GCF of 63306 and 63313?

We will first find the prime factorization of 63306 and 63313. After we will calculate the factors of 63306 and 63313 and find the biggest common factor number .

Step-1: Prime Factorization of 63306

Prime factors of 63306 are 2, 3, 3517. Prime factorization of 63306 in exponential form is:

63306 = 2¹ × 3² × 3517¹

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 63306

List of positive integer factors of 63306 that divides 63306 without a remainder.

1, 2, 3, 6, 9, 18, 3517, 7034, 10551, 21102, 31653

Step-4: Factors of 63313

List of positive integer factors of 63313 that divides 63306 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63306 and 63313. The biggest common factor number is the GCF number.
So the greatest common factor 63306 and 63313 is 1.

Also check out the Least Common Multiple of 63306 and 63313