What is the Greatest Common Factor of 63345 and 63351?

Greatest common factor (GCF) of 63345 and 63351 is 3.

GCF(63345,63351) = 3

We will now calculate the prime factors of 63345 and 63351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63345 and 63351.

How to find the GCF of 63345 and 63351?

We will first find the prime factorization of 63345 and 63351. After we will calculate the factors of 63345 and 63351 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 63351

Prime factors of 63351 are 3, 7039. Prime factorization of 63351 in exponential form is:

63351 = 3² × 7039¹

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 63351

List of positive integer factors of 63351 that divides 63345 without a remainder.

1, 3, 9, 7039, 21117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63345 and 63351. The biggest common factor number is the GCF number.
So the greatest common factor 63345 and 63351 is 3.

Also check out the Least Common Multiple of 63345 and 63351