What is the Greatest Common Factor of 72814 and 72834?

Greatest common factor (GCF) of 72814 and 72834 is 2.

GCF(72814,72834) = 2

We will now calculate the prime factors of 72814 and 72834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72814 and 72834.

How to find the GCF of 72814 and 72834?

We will first find the prime factorization of 72814 and 72834. After we will calculate the factors of 72814 and 72834 and find the biggest common factor number .

Step-1: Prime Factorization of 72814

Prime factors of 72814 are 2, 7, 743. Prime factorization of 72814 in exponential form is:

72814 = 2¹ × 7² × 743¹

Step-2: Prime Factorization of 72834

Prime factors of 72834 are 2, 3, 61, 199. Prime factorization of 72834 in exponential form is:

72834 = 2¹ × 3¹ × 61¹ × 199¹

Step-3: Factors of 72814

List of positive integer factors of 72814 that divides 72814 without a remainder.

1, 2, 7, 14, 49, 98, 743, 1486, 5201, 10402, 36407

Step-4: Factors of 72834

List of positive integer factors of 72834 that divides 72814 without a remainder.

1, 2, 3, 6, 61, 122, 183, 199, 366, 398, 597, 1194, 12139, 24278, 36417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72814 and 72834. The biggest common factor number is the GCF number.
So the greatest common factor 72814 and 72834 is 2.

Also check out the Least Common Multiple of 72814 and 72834