What is the Greatest Common Factor of 63305 and 63320?

Greatest common factor (GCF) of 63305 and 63320 is 5.

GCF(63305,63320) = 5

We will now calculate the prime factors of 63305 and 63320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63305 and 63320.

How to find the GCF of 63305 and 63320?

We will first find the prime factorization of 63305 and 63320. After we will calculate the factors of 63305 and 63320 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 63320

Prime factors of 63320 are 2, 5, 1583. Prime factorization of 63320 in exponential form is:

63320 = 2³ × 5¹ × 1583¹

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 63320

List of positive integer factors of 63320 that divides 63305 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1583, 3166, 6332, 7915, 12664, 15830, 31660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63305 and 63320. The biggest common factor number is the GCF number.
So the greatest common factor 63305 and 63320 is 5.

Also check out the Least Common Multiple of 63305 and 63320