What is the Greatest Common Factor of 63325 and 63345?

Greatest common factor (GCF) of 63325 and 63345 is 5.

GCF(63325,63345) = 5

We will now calculate the prime factors of 63325 and 63345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63325 and 63345.

How to find the GCF of 63325 and 63345?

We will first find the prime factorization of 63325 and 63345. After we will calculate the factors of 63325 and 63345 and find the biggest common factor number .

Step-1: Prime Factorization of 63325

Prime factors of 63325 are 5, 17, 149. Prime factorization of 63325 in exponential form is:

63325 = 5² × 17¹ × 149¹

Step-2: 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-3: Factors of 63325

List of positive integer factors of 63325 that divides 63325 without a remainder.

1, 5, 17, 25, 85, 149, 425, 745, 2533, 3725, 12665

Step-4: Factors of 63345

List of positive integer factors of 63345 that divides 63325 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63325 and 63345. The biggest common factor number is the GCF number.
So the greatest common factor 63325 and 63345 is 5.

Also check out the Least Common Multiple of 63325 and 63345