What is the Greatest Common Factor of 72699 and 72710?

Greatest common factor (GCF) of 72699 and 72710 is 11.

GCF(72699,72710) = 11

We will now calculate the prime factors of 72699 and 72710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72699 and 72710.

How to find the GCF of 72699 and 72710?

We will first find the prime factorization of 72699 and 72710. After we will calculate the factors of 72699 and 72710 and find the biggest common factor number .

Step-1: Prime Factorization of 72699

Prime factors of 72699 are 3, 11, 2203. Prime factorization of 72699 in exponential form is:

72699 = 3¹ × 11¹ × 2203¹

Step-2: Prime Factorization of 72710

Prime factors of 72710 are 2, 5, 11, 661. Prime factorization of 72710 in exponential form is:

72710 = 2¹ × 5¹ × 11¹ × 661¹

Step-3: Factors of 72699

List of positive integer factors of 72699 that divides 72699 without a remainder.

1, 3, 11, 33, 2203, 6609, 24233

Step-4: Factors of 72710

List of positive integer factors of 72710 that divides 72699 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 661, 1322, 3305, 6610, 7271, 14542, 36355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72699 and 72710. The biggest common factor number is the GCF number.
So the greatest common factor 72699 and 72710 is 11.

Also check out the Least Common Multiple of 72699 and 72710