What is the Greatest Common Factor of 59670 and 59680?

Greatest common factor (GCF) of 59670 and 59680 is 10.

GCF(59670,59680) = 10

We will now calculate the prime factors of 59670 and 59680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59670 and 59680.

How to find the GCF of 59670 and 59680?

We will first find the prime factorization of 59670 and 59680. After we will calculate the factors of 59670 and 59680 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 59680

Prime factors of 59680 are 2, 5, 373. Prime factorization of 59680 in exponential form is:

59680 = 2⁵ × 5¹ × 373¹

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 59680

List of positive integer factors of 59680 that divides 59670 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 373, 746, 1492, 1865, 2984, 3730, 5968, 7460, 11936, 14920, 29840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59670 and 59680. The biggest common factor number is the GCF number.
So the greatest common factor 59670 and 59680 is 10.

Also check out the Least Common Multiple of 59670 and 59680