What is the Greatest Common Factor of 72354 and 72369?

Greatest common factor (GCF) of 72354 and 72369 is 3.

GCF(72354,72369) = 3

We will now calculate the prime factors of 72354 and 72369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72354 and 72369.

How to find the GCF of 72354 and 72369?

We will first find the prime factorization of 72354 and 72369. After we will calculate the factors of 72354 and 72369 and find the biggest common factor number .

Step-1: Prime Factorization of 72354

Prime factors of 72354 are 2, 3, 31, 389. Prime factorization of 72354 in exponential form is:

72354 = 2¹ × 3¹ × 31¹ × 389¹

Step-2: Prime Factorization of 72369

Prime factors of 72369 are 3, 11, 17, 43. Prime factorization of 72369 in exponential form is:

72369 = 3² × 11¹ × 17¹ × 43¹

Step-3: Factors of 72354

List of positive integer factors of 72354 that divides 72354 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 389, 778, 1167, 2334, 12059, 24118, 36177

Step-4: Factors of 72369

List of positive integer factors of 72369 that divides 72354 without a remainder.

1, 3, 9, 11, 17, 33, 43, 51, 99, 129, 153, 187, 387, 473, 561, 731, 1419, 1683, 2193, 4257, 6579, 8041, 24123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72354 and 72369. The biggest common factor number is the GCF number.
So the greatest common factor 72354 and 72369 is 3.

Also check out the Least Common Multiple of 72354 and 72369