What is the Greatest Common Factor of 63305 and 63325?

Greatest common factor (GCF) of 63305 and 63325 is 5.

GCF(63305,63325) = 5

We will now calculate the prime factors of 63305 and 63325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63305 and 63325.

How to find the GCF of 63305 and 63325?

We will first find the prime factorization of 63305 and 63325. After we will calculate the factors of 63305 and 63325 and find the biggest common factor number .

Step-1: Prime Factorization of 63305

Prime factors of 63305 are 5, 11, 1151. Prime factorization of 63305 in exponential form is:

63305 = 5¹ × 11¹ × 1151¹

Step-2: 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-3: Factors of 63305

List of positive integer factors of 63305 that divides 63305 without a remainder.

1, 5, 11, 55, 1151, 5755, 12661

Step-4: Factors of 63325

List of positive integer factors of 63325 that divides 63305 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63305 and 63325. The biggest common factor number is the GCF number.
So the greatest common factor 63305 and 63325 is 5.

Also check out the Least Common Multiple of 63305 and 63325