What is the Greatest Common Factor of 72812 and 72826?

Greatest common factor (GCF) of 72812 and 72826 is 2.

GCF(72812,72826) = 2

We will now calculate the prime factors of 72812 and 72826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72812 and 72826.

How to find the GCF of 72812 and 72826?

We will first find the prime factorization of 72812 and 72826. After we will calculate the factors of 72812 and 72826 and find the biggest common factor number .

Step-1: Prime Factorization of 72812

Prime factors of 72812 are 2, 109, 167. Prime factorization of 72812 in exponential form is:

72812 = 2² × 109¹ × 167¹

Step-2: Prime Factorization of 72826

Prime factors of 72826 are 2, 13, 2801. Prime factorization of 72826 in exponential form is:

72826 = 2¹ × 13¹ × 2801¹

Step-3: Factors of 72812

List of positive integer factors of 72812 that divides 72812 without a remainder.

1, 2, 4, 109, 167, 218, 334, 436, 668, 18203, 36406

Step-4: Factors of 72826

List of positive integer factors of 72826 that divides 72812 without a remainder.

1, 2, 13, 26, 2801, 5602, 36413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72812 and 72826. The biggest common factor number is the GCF number.
So the greatest common factor 72812 and 72826 is 2.

Also check out the Least Common Multiple of 72812 and 72826