What is the Greatest Common Factor of 59775 and 59791?

Greatest common factor (GCF) of 59775 and 59791 is 1.

GCF(59775,59791) = 1

We will now calculate the prime factors of 59775 and 59791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59775 and 59791.

How to find the GCF of 59775 and 59791?

We will first find the prime factorization of 59775 and 59791. After we will calculate the factors of 59775 and 59791 and find the biggest common factor number .

Step-1: Prime Factorization of 59775

Prime factors of 59775 are 3, 5, 797. Prime factorization of 59775 in exponential form is:

59775 = 3¹ × 5² × 797¹

Step-2: Prime Factorization of 59791

Prime factors of 59791 are 59791. Prime factorization of 59791 in exponential form is:

59791 = 59791¹

Step-3: Factors of 59775

List of positive integer factors of 59775 that divides 59775 without a remainder.

1, 3, 5, 15, 25, 75, 797, 2391, 3985, 11955, 19925

Step-4: Factors of 59791

List of positive integer factors of 59791 that divides 59775 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59775 and 59791. The biggest common factor number is the GCF number.
So the greatest common factor 59775 and 59791 is 1.

Also check out the Least Common Multiple of 59775 and 59791