What is the Greatest Common Factor of 72834 and 72854?

Greatest common factor (GCF) of 72834 and 72854 is 2.

GCF(72834,72854) = 2

We will now calculate the prime factors of 72834 and 72854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72834 and 72854.

How to find the GCF of 72834 and 72854?

We will first find the prime factorization of 72834 and 72854. After we will calculate the factors of 72834 and 72854 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 72834

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

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

Step-4: Factors of 72854

List of positive integer factors of 72854 that divides 72834 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72834 and 72854. The biggest common factor number is the GCF number.
So the greatest common factor 72834 and 72854 is 2.

Also check out the Least Common Multiple of 72834 and 72854