What is the Greatest Common Factor of 59505 and 59515?

Greatest common factor (GCF) of 59505 and 59515 is 5.

GCF(59505,59515) = 5

We will now calculate the prime factors of 59505 and 59515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59505 and 59515.

How to find the GCF of 59505 and 59515?

We will first find the prime factorization of 59505 and 59515. After we will calculate the factors of 59505 and 59515 and find the biggest common factor number .

Step-1: Prime Factorization of 59505

Prime factors of 59505 are 3, 5, 3967. Prime factorization of 59505 in exponential form is:

59505 = 3¹ × 5¹ × 3967¹

Step-2: Prime Factorization of 59515

Prime factors of 59515 are 5, 11903. Prime factorization of 59515 in exponential form is:

59515 = 5¹ × 11903¹

Step-3: Factors of 59505

List of positive integer factors of 59505 that divides 59505 without a remainder.

1, 3, 5, 15, 3967, 11901, 19835

Step-4: Factors of 59515

List of positive integer factors of 59515 that divides 59505 without a remainder.

1, 5, 11903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59505 and 59515. The biggest common factor number is the GCF number.
So the greatest common factor 59505 and 59515 is 5.

Also check out the Least Common Multiple of 59505 and 59515