What is the Greatest Common Factor of 63045 and 63060?

Greatest common factor (GCF) of 63045 and 63060 is 15.

GCF(63045,63060) = 15

We will now calculate the prime factors of 63045 and 63060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63045 and 63060.

How to find the GCF of 63045 and 63060?

We will first find the prime factorization of 63045 and 63060. After we will calculate the factors of 63045 and 63060 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63060

Prime factors of 63060 are 2, 3, 5, 1051. Prime factorization of 63060 in exponential form is:

63060 = 2² × 3¹ × 5¹ × 1051¹

Step-3: Factors of 63045

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

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

Step-4: Factors of 63060

List of positive integer factors of 63060 that divides 63045 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1051, 2102, 3153, 4204, 5255, 6306, 10510, 12612, 15765, 21020, 31530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63045 and 63060. The biggest common factor number is the GCF number.
So the greatest common factor 63045 and 63060 is 15.

Also check out the Least Common Multiple of 63045 and 63060