What is the Greatest Common Factor of 73224 and 73242?

Greatest common factor (GCF) of 73224 and 73242 is 18.

GCF(73224,73242) = 18

We will now calculate the prime factors of 73224 and 73242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73224 and 73242.

How to find the GCF of 73224 and 73242?

We will first find the prime factorization of 73224 and 73242. After we will calculate the factors of 73224 and 73242 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73242

Prime factors of 73242 are 2, 3, 13, 313. Prime factorization of 73242 in exponential form is:

73242 = 2¹ × 3² × 13¹ × 313¹

Step-3: Factors of 73224

List of positive integer factors of 73224 that divides 73224 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

Step-4: Factors of 73242

List of positive integer factors of 73242 that divides 73224 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 313, 626, 939, 1878, 2817, 4069, 5634, 8138, 12207, 24414, 36621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73224 and 73242. The biggest common factor number is the GCF number.
So the greatest common factor 73224 and 73242 is 18.

Also check out the Least Common Multiple of 73224 and 73242