What is the Greatest Common Factor of 63030 and 63045?

Greatest common factor (GCF) of 63030 and 63045 is 15.

GCF(63030,63045) = 15

We will now calculate the prime factors of 63030 and 63045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63030 and 63045.

How to find the GCF of 63030 and 63045?

We will first find the prime factorization of 63030 and 63045. After we will calculate the factors of 63030 and 63045 and find the biggest common factor number .

Step-1: Prime Factorization of 63030

Prime factors of 63030 are 2, 3, 5, 11, 191. Prime factorization of 63030 in exponential form is:

63030 = 2¹ × 3¹ × 5¹ × 11¹ × 191¹

Step-2: Prime Factorization of 63045

Prime factors of 63045 are 3, 5, 467. Prime factorization of 63045 in exponential form is:

63045 = 3³ × 5¹ × 467¹

Step-3: Factors of 63030

List of positive integer factors of 63030 that divides 63030 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 191, 330, 382, 573, 955, 1146, 1910, 2101, 2865, 4202, 5730, 6303, 10505, 12606, 21010, 31515

Step-4: Factors of 63045

List of positive integer factors of 63045 that divides 63030 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 467, 1401, 2335, 4203, 7005, 12609, 21015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63030 and 63045. The biggest common factor number is the GCF number.
So the greatest common factor 63030 and 63045 is 15.

Also check out the Least Common Multiple of 63030 and 63045