What is the Greatest Common Factor of 63339 and 63354?

Greatest common factor (GCF) of 63339 and 63354 is 3.

GCF(63339,63354) = 3

We will now calculate the prime factors of 63339 and 63354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63339 and 63354.

How to find the GCF of 63339 and 63354?

We will first find the prime factorization of 63339 and 63354. After we will calculate the factors of 63339 and 63354 and find the biggest common factor number .

Step-1: Prime Factorization of 63339

Prime factors of 63339 are 3, 43, 491. Prime factorization of 63339 in exponential form is:

63339 = 3¹ × 43¹ × 491¹

Step-2: Prime Factorization of 63354

Prime factors of 63354 are 2, 3, 10559. Prime factorization of 63354 in exponential form is:

63354 = 2¹ × 3¹ × 10559¹

Step-3: Factors of 63339

List of positive integer factors of 63339 that divides 63339 without a remainder.

1, 3, 43, 129, 491, 1473, 21113

Step-4: Factors of 63354

List of positive integer factors of 63354 that divides 63339 without a remainder.

1, 2, 3, 6, 10559, 21118, 31677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63339 and 63354. The biggest common factor number is the GCF number.
So the greatest common factor 63339 and 63354 is 3.

Also check out the Least Common Multiple of 63339 and 63354