What is the Greatest Common Factor of 59835 and 59845?

Greatest common factor (GCF) of 59835 and 59845 is 5.

GCF(59835,59845) = 5

We will now calculate the prime factors of 59835 and 59845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59835 and 59845.

How to find the GCF of 59835 and 59845?

We will first find the prime factorization of 59835 and 59845. After we will calculate the factors of 59835 and 59845 and find the biggest common factor number .

Step-1: Prime Factorization of 59835

Prime factors of 59835 are 3, 5, 3989. Prime factorization of 59835 in exponential form is:

59835 = 3¹ × 5¹ × 3989¹

Step-2: Prime Factorization of 59845

Prime factors of 59845 are 5, 11969. Prime factorization of 59845 in exponential form is:

59845 = 5¹ × 11969¹

Step-3: Factors of 59835

List of positive integer factors of 59835 that divides 59835 without a remainder.

1, 3, 5, 15, 3989, 11967, 19945

Step-4: Factors of 59845

List of positive integer factors of 59845 that divides 59835 without a remainder.

1, 5, 11969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59835 and 59845. The biggest common factor number is the GCF number.
So the greatest common factor 59835 and 59845 is 5.

Also check out the Least Common Multiple of 59835 and 59845