What is the Greatest Common Factor of 59901 and 59919?

Greatest common factor (GCF) of 59901 and 59919 is 3.

GCF(59901,59919) = 3

We will now calculate the prime factors of 59901 and 59919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59901 and 59919.

How to find the GCF of 59901 and 59919?

We will first find the prime factorization of 59901 and 59919. After we will calculate the factors of 59901 and 59919 and find the biggest common factor number .

Step-1: Prime Factorization of 59901

Prime factors of 59901 are 3, 41, 487. Prime factorization of 59901 in exponential form is:

59901 = 3¹ × 41¹ × 487¹

Step-2: Prime Factorization of 59919

Prime factors of 59919 are 3, 19973. Prime factorization of 59919 in exponential form is:

59919 = 3¹ × 19973¹

Step-3: Factors of 59901

List of positive integer factors of 59901 that divides 59901 without a remainder.

1, 3, 41, 123, 487, 1461, 19967

Step-4: Factors of 59919

List of positive integer factors of 59919 that divides 59901 without a remainder.

1, 3, 19973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59901 and 59919. The biggest common factor number is the GCF number.
So the greatest common factor 59901 and 59919 is 3.

Also check out the Least Common Multiple of 59901 and 59919