What is the Greatest Common Factor of 66690 and 66703?

Greatest common factor (GCF) of 66690 and 66703 is 13.

GCF(66690,66703) = 13

We will now calculate the prime factors of 66690 and 66703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66690 and 66703.

How to find the GCF of 66690 and 66703?

We will first find the prime factorization of 66690 and 66703. After we will calculate the factors of 66690 and 66703 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 66703

Prime factors of 66703 are 7, 13, 733. Prime factorization of 66703 in exponential form is:

66703 = 7¹ × 13¹ × 733¹

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 66703

List of positive integer factors of 66703 that divides 66690 without a remainder.

1, 7, 13, 91, 733, 5131, 9529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66690 and 66703. The biggest common factor number is the GCF number.
So the greatest common factor 66690 and 66703 is 13.

Also check out the Least Common Multiple of 66690 and 66703