What is the Greatest Common Factor of 60759 and 60773?

Greatest common factor (GCF) of 60759 and 60773 is 1.

GCF(60759,60773) = 1

We will now calculate the prime factors of 60759 and 60773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60759 and 60773.

How to find the GCF of 60759 and 60773?

We will first find the prime factorization of 60759 and 60773. After we will calculate the factors of 60759 and 60773 and find the biggest common factor number .

Step-1: Prime Factorization of 60759

Prime factors of 60759 are 3, 43, 157. Prime factorization of 60759 in exponential form is:

60759 = 3² × 43¹ × 157¹

Step-2: Prime Factorization of 60773

Prime factors of 60773 are 60773. Prime factorization of 60773 in exponential form is:

60773 = 60773¹

Step-3: Factors of 60759

List of positive integer factors of 60759 that divides 60759 without a remainder.

1, 3, 9, 43, 129, 157, 387, 471, 1413, 6751, 20253

Step-4: Factors of 60773

List of positive integer factors of 60773 that divides 60759 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60759 and 60773. The biggest common factor number is the GCF number.
So the greatest common factor 60759 and 60773 is 1.

Also check out the Least Common Multiple of 60759 and 60773