What is the Greatest Common Factor of 63345 and 63354?

Greatest common factor (GCF) of 63345 and 63354 is 3.

GCF(63345,63354) = 3

We will now calculate the prime factors of 63345 and 63354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63345 and 63354.

How to find the GCF of 63345 and 63354?

We will first find the prime factorization of 63345 and 63354. After we will calculate the factors of 63345 and 63354 and find the biggest common factor number .

Step-1: Prime Factorization of 63345

Prime factors of 63345 are 3, 5, 41, 103. Prime factorization of 63345 in exponential form is:

63345 = 3¹ × 5¹ × 41¹ × 103¹

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 63345

List of positive integer factors of 63345 that divides 63345 without a remainder.

1, 3, 5, 15, 41, 103, 123, 205, 309, 515, 615, 1545, 4223, 12669, 21115

Step-4: Factors of 63354

List of positive integer factors of 63354 that divides 63345 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63345 and 63354. The biggest common factor number is the GCF number.
So the greatest common factor 63345 and 63354 is 3.

Also check out the Least Common Multiple of 63345 and 63354