What is the Greatest Common Factor of 72834 and 72840?

Greatest common factor (GCF) of 72834 and 72840 is 6.

GCF(72834,72840) = 6

We will now calculate the prime factors of 72834 and 72840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72834 and 72840.

How to find the GCF of 72834 and 72840?

We will first find the prime factorization of 72834 and 72840. After we will calculate the factors of 72834 and 72840 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 72840

Prime factors of 72840 are 2, 3, 5, 607. Prime factorization of 72840 in exponential form is:

72840 = 2³ × 3¹ × 5¹ × 607¹

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 72840

List of positive integer factors of 72840 that divides 72834 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 607, 1214, 1821, 2428, 3035, 3642, 4856, 6070, 7284, 9105, 12140, 14568, 18210, 24280, 36420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72834 and 72840. The biggest common factor number is the GCF number.
So the greatest common factor 72834 and 72840 is 6.

Also check out the Least Common Multiple of 72834 and 72840