What is the Greatest Common Factor of 63345 and 63365?

Greatest common factor (GCF) of 63345 and 63365 is 5.

GCF(63345,63365) = 5

We will now calculate the prime factors of 63345 and 63365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63345 and 63365.

How to find the GCF of 63345 and 63365?

We will first find the prime factorization of 63345 and 63365. After we will calculate the factors of 63345 and 63365 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 63365

Prime factors of 63365 are 5, 19, 23, 29. Prime factorization of 63365 in exponential form is:

63365 = 5¹ × 19¹ × 23¹ × 29¹

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 63365

List of positive integer factors of 63365 that divides 63345 without a remainder.

1, 5, 19, 23, 29, 95, 115, 145, 437, 551, 667, 2185, 2755, 3335, 12673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63345 and 63365. The biggest common factor number is the GCF number.
So the greatest common factor 63345 and 63365 is 5.

Also check out the Least Common Multiple of 63345 and 63365