What is the Greatest Common Factor of 60726 and 60738?

Greatest common factor (GCF) of 60726 and 60738 is 6.

GCF(60726,60738) = 6

We will now calculate the prime factors of 60726 and 60738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60726 and 60738.

How to find the GCF of 60726 and 60738?

We will first find the prime factorization of 60726 and 60738. After we will calculate the factors of 60726 and 60738 and find the biggest common factor number .

Step-1: Prime Factorization of 60726

Prime factors of 60726 are 2, 3, 29, 349. Prime factorization of 60726 in exponential form is:

60726 = 2¹ × 3¹ × 29¹ × 349¹

Step-2: Prime Factorization of 60738

Prime factors of 60738 are 2, 3, 53, 191. Prime factorization of 60738 in exponential form is:

60738 = 2¹ × 3¹ × 53¹ × 191¹

Step-3: Factors of 60726

List of positive integer factors of 60726 that divides 60726 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 349, 698, 1047, 2094, 10121, 20242, 30363

Step-4: Factors of 60738

List of positive integer factors of 60738 that divides 60726 without a remainder.

1, 2, 3, 6, 53, 106, 159, 191, 318, 382, 573, 1146, 10123, 20246, 30369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60726 and 60738. The biggest common factor number is the GCF number.
So the greatest common factor 60726 and 60738 is 6.

Also check out the Least Common Multiple of 60726 and 60738