What is the Greatest Common Factor of 66680 and 66690?

Greatest common factor (GCF) of 66680 and 66690 is 10.

GCF(66680,66690) = 10

We will now calculate the prime factors of 66680 and 66690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66680 and 66690.

How to find the GCF of 66680 and 66690?

We will first find the prime factorization of 66680 and 66690. After we will calculate the factors of 66680 and 66690 and find the biggest common factor number .

Step-1: Prime Factorization of 66680

Prime factors of 66680 are 2, 5, 1667. Prime factorization of 66680 in exponential form is:

66680 = 2³ × 5¹ × 1667¹

Step-2: 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-3: Factors of 66680

List of positive integer factors of 66680 that divides 66680 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1667, 3334, 6668, 8335, 13336, 16670, 33340

Step-4: Factors of 66690

List of positive integer factors of 66690 that divides 66680 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66680 and 66690. The biggest common factor number is the GCF number.
So the greatest common factor 66680 and 66690 is 10.

Also check out the Least Common Multiple of 66680 and 66690