What is the Greatest Common Factor of 72666 and 72677?

Greatest common factor (GCF) of 72666 and 72677 is 11.

GCF(72666,72677) = 11

We will now calculate the prime factors of 72666 and 72677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72666 and 72677.

How to find the GCF of 72666 and 72677?

We will first find the prime factorization of 72666 and 72677. After we will calculate the factors of 72666 and 72677 and find the biggest common factor number .

Step-1: Prime Factorization of 72666

Prime factors of 72666 are 2, 3, 11, 367. Prime factorization of 72666 in exponential form is:

72666 = 2¹ × 3² × 11¹ × 367¹

Step-2: Prime Factorization of 72677

Prime factors of 72677 are 11, 6607. Prime factorization of 72677 in exponential form is:

72677 = 11¹ × 6607¹

Step-3: Factors of 72666

List of positive integer factors of 72666 that divides 72666 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 367, 734, 1101, 2202, 3303, 4037, 6606, 8074, 12111, 24222, 36333

Step-4: Factors of 72677

List of positive integer factors of 72677 that divides 72666 without a remainder.

1, 11, 6607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72666 and 72677. The biggest common factor number is the GCF number.
So the greatest common factor 72666 and 72677 is 11.

Also check out the Least Common Multiple of 72666 and 72677