What is the Greatest Common Factor of 60735 and 60741?

Greatest common factor (GCF) of 60735 and 60741 is 3.

GCF(60735,60741) = 3

We will now calculate the prime factors of 60735 and 60741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60735 and 60741.

How to find the GCF of 60735 and 60741?

We will first find the prime factorization of 60735 and 60741. After we will calculate the factors of 60735 and 60741 and find the biggest common factor number .

Step-1: Prime Factorization of 60735

Prime factors of 60735 are 3, 5, 4049. Prime factorization of 60735 in exponential form is:

60735 = 3¹ × 5¹ × 4049¹

Step-2: Prime Factorization of 60741

Prime factors of 60741 are 3, 17, 397. Prime factorization of 60741 in exponential form is:

60741 = 3² × 17¹ × 397¹

Step-3: Factors of 60735

List of positive integer factors of 60735 that divides 60735 without a remainder.

1, 3, 5, 15, 4049, 12147, 20245

Step-4: Factors of 60741

List of positive integer factors of 60741 that divides 60735 without a remainder.

1, 3, 9, 17, 51, 153, 397, 1191, 3573, 6749, 20247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60735 and 60741. The biggest common factor number is the GCF number.
So the greatest common factor 60735 and 60741 is 3.

Also check out the Least Common Multiple of 60735 and 60741