What is the Greatest Common Factor of 59335 and 59340?

Greatest common factor (GCF) of 59335 and 59340 is 5.

GCF(59335,59340) = 5

We will now calculate the prime factors of 59335 and 59340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59335 and 59340.

How to find the GCF of 59335 and 59340?

We will first find the prime factorization of 59335 and 59340. After we will calculate the factors of 59335 and 59340 and find the biggest common factor number .

Step-1: Prime Factorization of 59335

Prime factors of 59335 are 5, 11867. Prime factorization of 59335 in exponential form is:

59335 = 5¹ × 11867¹

Step-2: Prime Factorization of 59340

Prime factors of 59340 are 2, 3, 5, 23, 43. Prime factorization of 59340 in exponential form is:

59340 = 2² × 3¹ × 5¹ × 23¹ × 43¹

Step-3: Factors of 59335

List of positive integer factors of 59335 that divides 59335 without a remainder.

1, 5, 11867

Step-4: Factors of 59340

List of positive integer factors of 59340 that divides 59335 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 43, 46, 60, 69, 86, 92, 115, 129, 138, 172, 215, 230, 258, 276, 345, 430, 460, 516, 645, 690, 860, 989, 1290, 1380, 1978, 2580, 2967, 3956, 4945, 5934, 9890, 11868, 14835, 19780, 29670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59335 and 59340. The biggest common factor number is the GCF number.
So the greatest common factor 59335 and 59340 is 5.

Also check out the Least Common Multiple of 59335 and 59340