What is the Greatest Common Factor of 59670 and 59679?

Greatest common factor (GCF) of 59670 and 59679 is 9.

GCF(59670,59679) = 9

We will now calculate the prime factors of 59670 and 59679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59670 and 59679.

How to find the GCF of 59670 and 59679?

We will first find the prime factorization of 59670 and 59679. After we will calculate the factors of 59670 and 59679 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 59679

Prime factors of 59679 are 3, 19, 349. Prime factorization of 59679 in exponential form is:

59679 = 3² × 19¹ × 349¹

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 59679

List of positive integer factors of 59679 that divides 59670 without a remainder.

1, 3, 9, 19, 57, 171, 349, 1047, 3141, 6631, 19893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59670 and 59679. The biggest common factor number is the GCF number.
So the greatest common factor 59670 and 59679 is 9.

Also check out the Least Common Multiple of 59670 and 59679