What is the Greatest Common Factor of 72906 and 72910?

Greatest common factor (GCF) of 72906 and 72910 is 2.

GCF(72906,72910) = 2

We will now calculate the prime factors of 72906 and 72910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72906 and 72910.

How to find the GCF of 72906 and 72910?

We will first find the prime factorization of 72906 and 72910. After we will calculate the factors of 72906 and 72910 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 72910

Prime factors of 72910 are 2, 5, 23, 317. Prime factorization of 72910 in exponential form is:

72910 = 2¹ × 5¹ × 23¹ × 317¹

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 72910

List of positive integer factors of 72910 that divides 72906 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 317, 634, 1585, 3170, 7291, 14582, 36455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72906 and 72910. The biggest common factor number is the GCF number.
So the greatest common factor 72906 and 72910 is 2.

Also check out the Least Common Multiple of 72906 and 72910