What is the Greatest Common Factor of 59670 and 59685?

Greatest common factor (GCF) of 59670 and 59685 is 15.

GCF(59670,59685) = 15

We will now calculate the prime factors of 59670 and 59685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59670 and 59685.

How to find the GCF of 59670 and 59685?

We will first find the prime factorization of 59670 and 59685. After we will calculate the factors of 59670 and 59685 and find the biggest common factor number .

Step-1: Prime Factorization of 59670

Prime factors of 59670 are 2, 3, 5, 13, 17. Prime factorization of 59670 in exponential form is:

59670 = 2¹ × 3³ × 5¹ × 13¹ × 17¹

Step-2: Prime Factorization of 59685

Prime factors of 59685 are 3, 5, 23, 173. Prime factorization of 59685 in exponential form is:

59685 = 3¹ × 5¹ × 23¹ × 173¹

Step-3: Factors of 59670

List of positive integer factors of 59670 that divides 59670 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 17, 18, 26, 27, 30, 34, 39, 45, 51, 54, 65, 78, 85, 90, 102, 117, 130, 135, 153, 170, 195, 221, 234, 255, 270, 306, 351, 390, 442, 459, 510, 585, 663, 702, 765, 918, 1105, 1170, 1326, 1530, 1755, 1989, 2210, 2295, 3315, 3510, 3978, 4590, 5967, 6630, 9945, 11934, 19890, 29835

Step-4: Factors of 59685

List of positive integer factors of 59685 that divides 59670 without a remainder.

1, 3, 5, 15, 23, 69, 115, 173, 345, 519, 865, 2595, 3979, 11937, 19895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59670 and 59685. The biggest common factor number is the GCF number.
So the greatest common factor 59670 and 59685 is 15.

Also check out the Least Common Multiple of 59670 and 59685