What is the Greatest Common Factor of 72906 and 72911?

Greatest common factor (GCF) of 72906 and 72911 is 1.

GCF(72906,72911) = 1

We will now calculate the prime factors of 72906 and 72911, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72906 and 72911.

How to find the GCF of 72906 and 72911?

We will first find the prime factorization of 72906 and 72911. After we will calculate the factors of 72906 and 72911 and find the biggest common factor number .

Step-1: Prime Factorization of 72906

Prime factors of 72906 are 2, 3, 29, 419. Prime factorization of 72906 in exponential form is:

72906 = 2¹ × 3¹ × 29¹ × 419¹

Step-2: Prime Factorization of 72911

Prime factors of 72911 are 72911. Prime factorization of 72911 in exponential form is:

72911 = 72911¹

Step-3: Factors of 72906

List of positive integer factors of 72906 that divides 72906 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 419, 838, 1257, 2514, 12151, 24302, 36453

Step-4: Factors of 72911

List of positive integer factors of 72911 that divides 72906 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72906 and 72911. The biggest common factor number is the GCF number.
So the greatest common factor 72906 and 72911 is 1.

Also check out the Least Common Multiple of 72906 and 72911