What is the Greatest Common Factor of 72854 and 72866?

Greatest common factor (GCF) of 72854 and 72866 is 2.

GCF(72854,72866) = 2

We will now calculate the prime factors of 72854 and 72866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72854 and 72866.

How to find the GCF of 72854 and 72866?

We will first find the prime factorization of 72854 and 72866. After we will calculate the factors of 72854 and 72866 and find the biggest common factor number .

Step-1: Prime Factorization of 72854

Prime factors of 72854 are 2, 73, 499. Prime factorization of 72854 in exponential form is:

72854 = 2¹ × 73¹ × 499¹

Step-2: Prime Factorization of 72866

Prime factors of 72866 are 2, 36433. Prime factorization of 72866 in exponential form is:

72866 = 2¹ × 36433¹

Step-3: Factors of 72854

List of positive integer factors of 72854 that divides 72854 without a remainder.

1, 2, 73, 146, 499, 998, 36427

Step-4: Factors of 72866

List of positive integer factors of 72866 that divides 72854 without a remainder.

1, 2, 36433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72854 and 72866. The biggest common factor number is the GCF number.
So the greatest common factor 72854 and 72866 is 2.

Also check out the Least Common Multiple of 72854 and 72866