What is the Greatest Common Factor of 59670 and 59678?

Greatest common factor (GCF) of 59670 and 59678 is 2.

GCF(59670,59678) = 2

We will now calculate the prime factors of 59670 and 59678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59670 and 59678.

How to find the GCF of 59670 and 59678?

We will first find the prime factorization of 59670 and 59678. After we will calculate the factors of 59670 and 59678 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 59678

Prime factors of 59678 are 2, 53, 563. Prime factorization of 59678 in exponential form is:

59678 = 2¹ × 53¹ × 563¹

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 59678

List of positive integer factors of 59678 that divides 59670 without a remainder.

1, 2, 53, 106, 563, 1126, 29839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59670 and 59678. The biggest common factor number is the GCF number.
So the greatest common factor 59670 and 59678 is 2.

Also check out the Least Common Multiple of 59670 and 59678