What is the Greatest Common Factor of 60891 and 60903?

Greatest common factor (GCF) of 60891 and 60903 is 3.

GCF(60891,60903) = 3

We will now calculate the prime factors of 60891 and 60903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60891 and 60903.

How to find the GCF of 60891 and 60903?

We will first find the prime factorization of 60891 and 60903. After we will calculate the factors of 60891 and 60903 and find the biggest common factor number .

Step-1: Prime Factorization of 60891

Prime factors of 60891 are 3, 20297. Prime factorization of 60891 in exponential form is:

60891 = 3¹ × 20297¹

Step-2: Prime Factorization of 60903

Prime factors of 60903 are 3, 67, 101. Prime factorization of 60903 in exponential form is:

60903 = 3² × 67¹ × 101¹

Step-3: Factors of 60891

List of positive integer factors of 60891 that divides 60891 without a remainder.

1, 3, 20297

Step-4: Factors of 60903

List of positive integer factors of 60903 that divides 60891 without a remainder.

1, 3, 9, 67, 101, 201, 303, 603, 909, 6767, 20301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60891 and 60903. The biggest common factor number is the GCF number.
So the greatest common factor 60891 and 60903 is 3.

Also check out the Least Common Multiple of 60891 and 60903