What is the Greatest Common Factor of 73224 and 73229?

Greatest common factor (GCF) of 73224 and 73229 is 1.

GCF(73224,73229) = 1

We will now calculate the prime factors of 73224 and 73229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73224 and 73229.

How to find the GCF of 73224 and 73229?

We will first find the prime factorization of 73224 and 73229. After we will calculate the factors of 73224 and 73229 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 73229

Prime factors of 73229 are 13, 43, 131. Prime factorization of 73229 in exponential form is:

73229 = 13¹ × 43¹ × 131¹

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 73229

List of positive integer factors of 73229 that divides 73224 without a remainder.

1, 13, 43, 131, 559, 1703, 5633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73224 and 73229. The biggest common factor number is the GCF number.
So the greatest common factor 73224 and 73229 is 1.

Also check out the Least Common Multiple of 73224 and 73229