What is the Greatest Common Factor of 66690 and 66705?

Greatest common factor (GCF) of 66690 and 66705 is 15.

GCF(66690,66705) = 15

We will now calculate the prime factors of 66690 and 66705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66690 and 66705.

How to find the GCF of 66690 and 66705?

We will first find the prime factorization of 66690 and 66705. After we will calculate the factors of 66690 and 66705 and find the biggest common factor number .

Step-1: Prime Factorization of 66690

Prime factors of 66690 are 2, 3, 5, 13, 19. Prime factorization of 66690 in exponential form is:

66690 = 2¹ × 3³ × 5¹ × 13¹ × 19¹

Step-2: Prime Factorization of 66705

Prime factors of 66705 are 3, 5, 4447. Prime factorization of 66705 in exponential form is:

66705 = 3¹ × 5¹ × 4447¹

Step-3: Factors of 66690

List of positive integer factors of 66690 that divides 66690 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 19, 26, 27, 30, 38, 39, 45, 54, 57, 65, 78, 90, 95, 114, 117, 130, 135, 171, 190, 195, 234, 247, 270, 285, 342, 351, 390, 494, 513, 570, 585, 702, 741, 855, 1026, 1170, 1235, 1482, 1710, 1755, 2223, 2470, 2565, 3510, 3705, 4446, 5130, 6669, 7410, 11115, 13338, 22230, 33345

Step-4: Factors of 66705

List of positive integer factors of 66705 that divides 66690 without a remainder.

1, 3, 5, 15, 4447, 13341, 22235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66690 and 66705. The biggest common factor number is the GCF number.
So the greatest common factor 66690 and 66705 is 15.

Also check out the Least Common Multiple of 66690 and 66705