What is the Greatest Common Factor of 63330 and 63335?

Greatest common factor (GCF) of 63330 and 63335 is 5.

GCF(63330,63335) = 5

We will now calculate the prime factors of 63330 and 63335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63330 and 63335.

How to find the GCF of 63330 and 63335?

We will first find the prime factorization of 63330 and 63335. After we will calculate the factors of 63330 and 63335 and find the biggest common factor number .

Step-1: Prime Factorization of 63330

Prime factors of 63330 are 2, 3, 5, 2111. Prime factorization of 63330 in exponential form is:

63330 = 2¹ × 3¹ × 5¹ × 2111¹

Step-2: Prime Factorization of 63335

Prime factors of 63335 are 5, 53, 239. Prime factorization of 63335 in exponential form is:

63335 = 5¹ × 53¹ × 239¹

Step-3: Factors of 63330

List of positive integer factors of 63330 that divides 63330 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2111, 4222, 6333, 10555, 12666, 21110, 31665

Step-4: Factors of 63335

List of positive integer factors of 63335 that divides 63330 without a remainder.

1, 5, 53, 239, 265, 1195, 12667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63330 and 63335. The biggest common factor number is the GCF number.
So the greatest common factor 63330 and 63335 is 5.

Also check out the Least Common Multiple of 63330 and 63335