What is the Greatest Common Factor of 73218 and 73224?

Greatest common factor (GCF) of 73218 and 73224 is 6.

GCF(73218,73224) = 6

We will now calculate the prime factors of 73218 and 73224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73218 and 73224.

How to find the GCF of 73218 and 73224?

We will first find the prime factorization of 73218 and 73224. After we will calculate the factors of 73218 and 73224 and find the biggest common factor number .

Step-1: Prime Factorization of 73218

Prime factors of 73218 are 2, 3, 12203. Prime factorization of 73218 in exponential form is:

73218 = 2¹ × 3¹ × 12203¹

Step-2: Prime Factorization of 73224

Prime factors of 73224 are 2, 3, 113. Prime factorization of 73224 in exponential form is:

73224 = 2³ × 3⁴ × 113¹

Step-3: Factors of 73218

List of positive integer factors of 73218 that divides 73218 without a remainder.

1, 2, 3, 6, 12203, 24406, 36609

Step-4: Factors of 73224

List of positive integer factors of 73224 that divides 73218 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 113, 162, 216, 226, 324, 339, 452, 648, 678, 904, 1017, 1356, 2034, 2712, 3051, 4068, 6102, 8136, 9153, 12204, 18306, 24408, 36612

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73218 and 73224. The biggest common factor number is the GCF number.
So the greatest common factor 73218 and 73224 is 6.

Also check out the Least Common Multiple of 73218 and 73224