What is the Greatest Common Factor of 66287 and 66300?

Greatest common factor (GCF) of 66287 and 66300 is 13.

GCF(66287,66300) = 13

We will now calculate the prime factors of 66287 and 66300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66287 and 66300.

How to find the GCF of 66287 and 66300?

We will first find the prime factorization of 66287 and 66300. After we will calculate the factors of 66287 and 66300 and find the biggest common factor number .

Step-1: Prime Factorization of 66287

Prime factors of 66287 are 13, 5099. Prime factorization of 66287 in exponential form is:

66287 = 13¹ × 5099¹

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 66287

List of positive integer factors of 66287 that divides 66287 without a remainder.

1, 13, 5099

Step-4: Factors of 66300

List of positive integer factors of 66300 that divides 66287 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 66287 and 66300. The biggest common factor number is the GCF number.
So the greatest common factor 66287 and 66300 is 13.

Also check out the Least Common Multiple of 66287 and 66300