What is the Greatest Common Factor of 66294 and 66300?

Greatest common factor (GCF) of 66294 and 66300 is 6.

GCF(66294,66300) = 6

We will now calculate the prime factors of 66294 and 66300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66294 and 66300.

How to find the GCF of 66294 and 66300?

We will first find the prime factorization of 66294 and 66300. After we will calculate the factors of 66294 and 66300 and find the biggest common factor number .

Step-1: Prime Factorization of 66294

Prime factors of 66294 are 2, 3, 29, 127. Prime factorization of 66294 in exponential form is:

66294 = 2¹ × 3² × 29¹ × 127¹

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 66294

List of positive integer factors of 66294 that divides 66294 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 127, 174, 254, 261, 381, 522, 762, 1143, 2286, 3683, 7366, 11049, 22098, 33147

Step-4: Factors of 66300

List of positive integer factors of 66300 that divides 66294 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 66294 and 66300. The biggest common factor number is the GCF number.
So the greatest common factor 66294 and 66300 is 6.

Also check out the Least Common Multiple of 66294 and 66300