What is the Greatest Common Factor of 66285 and 66300?

Greatest common factor (GCF) of 66285 and 66300 is 15.

GCF(66285,66300) = 15

We will now calculate the prime factors of 66285 and 66300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66285 and 66300.

How to find the GCF of 66285 and 66300?

We will first find the prime factorization of 66285 and 66300. After we will calculate the factors of 66285 and 66300 and find the biggest common factor number .

Step-1: Prime Factorization of 66285

Prime factors of 66285 are 3, 5, 491. Prime factorization of 66285 in exponential form is:

66285 = 3³ × 5¹ × 491¹

Step-2: Prime Factorization of 66300

Prime factors of 66300 are 2, 3, 5, 13, 17. Prime factorization of 66300 in exponential form is:

66300 = 2² × 3¹ × 5² × 13¹ × 17¹

Step-3: Factors of 66285

List of positive integer factors of 66285 that divides 66285 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 491, 1473, 2455, 4419, 7365, 13257, 22095

Step-4: Factors of 66300

List of positive integer factors of 66300 that divides 66285 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 17, 20, 25, 26, 30, 34, 39, 50, 51, 52, 60, 65, 68, 75, 78, 85, 100, 102, 130, 150, 156, 170, 195, 204, 221, 255, 260, 300, 325, 340, 390, 425, 442, 510, 650, 663, 780, 850, 884, 975, 1020, 1105, 1275, 1300, 1326, 1700, 1950, 2210, 2550, 2652, 3315, 3900, 4420, 5100, 5525, 6630, 11050, 13260, 16575, 22100, 33150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66285 and 66300. The biggest common factor number is the GCF number.
So the greatest common factor 66285 and 66300 is 15.

Also check out the Least Common Multiple of 66285 and 66300