What is the Greatest Common Factor of 73233 and 73248?

Greatest common factor (GCF) of 73233 and 73248 is 3.

GCF(73233,73248) = 3

We will now calculate the prime factors of 73233 and 73248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73233 and 73248.

How to find the GCF of 73233 and 73248?

We will first find the prime factorization of 73233 and 73248. After we will calculate the factors of 73233 and 73248 and find the biggest common factor number .

Step-1: Prime Factorization of 73233

Prime factors of 73233 are 3, 79, 103. Prime factorization of 73233 in exponential form is:

73233 = 3² × 79¹ × 103¹

Step-2: Prime Factorization of 73248

Prime factors of 73248 are 2, 3, 7, 109. Prime factorization of 73248 in exponential form is:

73248 = 2⁵ × 3¹ × 7¹ × 109¹

Step-3: Factors of 73233

List of positive integer factors of 73233 that divides 73233 without a remainder.

1, 3, 9, 79, 103, 237, 309, 711, 927, 8137, 24411

Step-4: Factors of 73248

List of positive integer factors of 73248 that divides 73233 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 109, 112, 168, 218, 224, 327, 336, 436, 654, 672, 763, 872, 1308, 1526, 1744, 2289, 2616, 3052, 3488, 4578, 5232, 6104, 9156, 10464, 12208, 18312, 24416, 36624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73233 and 73248. The biggest common factor number is the GCF number.
So the greatest common factor 73233 and 73248 is 3.

Also check out the Least Common Multiple of 73233 and 73248