What is the Greatest Common Factor of 72834 and 72846?

Greatest common factor (GCF) of 72834 and 72846 is 6.

GCF(72834,72846) = 6

We will now calculate the prime factors of 72834 and 72846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72834 and 72846.

How to find the GCF of 72834 and 72846?

We will first find the prime factorization of 72834 and 72846. After we will calculate the factors of 72834 and 72846 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 72846

Prime factors of 72846 are 2, 3, 19, 71. Prime factorization of 72846 in exponential form is:

72846 = 2¹ × 3³ × 19¹ × 71¹

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 72846

List of positive integer factors of 72846 that divides 72834 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 71, 114, 142, 171, 213, 342, 426, 513, 639, 1026, 1278, 1349, 1917, 2698, 3834, 4047, 8094, 12141, 24282, 36423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72834 and 72846. The biggest common factor number is the GCF number.
So the greatest common factor 72834 and 72846 is 6.

Also check out the Least Common Multiple of 72834 and 72846