What is the Greatest Common Factor of 59670 and 59686?

Greatest common factor (GCF) of 59670 and 59686 is 2.

GCF(59670,59686) = 2

We will now calculate the prime factors of 59670 and 59686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59670 and 59686.

How to find the GCF of 59670 and 59686?

We will first find the prime factorization of 59670 and 59686. After we will calculate the factors of 59670 and 59686 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 59686

Prime factors of 59686 are 2, 11, 2713. Prime factorization of 59686 in exponential form is:

59686 = 2¹ × 11¹ × 2713¹

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 59686

List of positive integer factors of 59686 that divides 59670 without a remainder.

1, 2, 11, 22, 2713, 5426, 29843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59670 and 59686. The biggest common factor number is the GCF number.
So the greatest common factor 59670 and 59686 is 2.

Also check out the Least Common Multiple of 59670 and 59686