What is the Greatest Common Factor of 59655 and 59670?

Greatest common factor (GCF) of 59655 and 59670 is 15.

GCF(59655,59670) = 15

We will now calculate the prime factors of 59655 and 59670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59655 and 59670.

How to find the GCF of 59655 and 59670?

We will first find the prime factorization of 59655 and 59670. After we will calculate the factors of 59655 and 59670 and find the biggest common factor number .

Step-1: Prime Factorization of 59655

Prime factors of 59655 are 3, 5, 41, 97. Prime factorization of 59655 in exponential form is:

59655 = 3¹ × 5¹ × 41¹ × 97¹

Step-2: 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-3: Factors of 59655

List of positive integer factors of 59655 that divides 59655 without a remainder.

1, 3, 5, 15, 41, 97, 123, 205, 291, 485, 615, 1455, 3977, 11931, 19885

Step-4: Factors of 59670

List of positive integer factors of 59670 that divides 59655 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59655 and 59670. The biggest common factor number is the GCF number.
So the greatest common factor 59655 and 59670 is 15.

Also check out the Least Common Multiple of 59655 and 59670