What is the Greatest Common Factor of 60729 and 60735?

Greatest common factor (GCF) of 60729 and 60735 is 3.

GCF(60729,60735) = 3

We will now calculate the prime factors of 60729 and 60735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60729 and 60735.

How to find the GCF of 60729 and 60735?

We will first find the prime factorization of 60729 and 60735. After we will calculate the factors of 60729 and 60735 and find the biggest common factor number .

Step-1: Prime Factorization of 60729

Prime factors of 60729 are 3, 31, 653. Prime factorization of 60729 in exponential form is:

60729 = 3¹ × 31¹ × 653¹

Step-2: 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-3: Factors of 60729

List of positive integer factors of 60729 that divides 60729 without a remainder.

1, 3, 31, 93, 653, 1959, 20243

Step-4: Factors of 60735

List of positive integer factors of 60735 that divides 60729 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60729 and 60735. The biggest common factor number is the GCF number.
So the greatest common factor 60729 and 60735 is 3.

Also check out the Least Common Multiple of 60729 and 60735