What is the Greatest Common Factor of 73272 and 73286?

Greatest common factor (GCF) of 73272 and 73286 is 2.

GCF(73272,73286) = 2

We will now calculate the prime factors of 73272 and 73286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73272 and 73286.

How to find the GCF of 73272 and 73286?

We will first find the prime factorization of 73272 and 73286. After we will calculate the factors of 73272 and 73286 and find the biggest common factor number .

Step-1: Prime Factorization of 73272

Prime factors of 73272 are 2, 3, 43, 71. Prime factorization of 73272 in exponential form is:

73272 = 2³ × 3¹ × 43¹ × 71¹

Step-2: Prime Factorization of 73286

Prime factors of 73286 are 2, 36643. Prime factorization of 73286 in exponential form is:

73286 = 2¹ × 36643¹

Step-3: Factors of 73272

List of positive integer factors of 73272 that divides 73272 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 43, 71, 86, 129, 142, 172, 213, 258, 284, 344, 426, 516, 568, 852, 1032, 1704, 3053, 6106, 9159, 12212, 18318, 24424, 36636

Step-4: Factors of 73286

List of positive integer factors of 73286 that divides 73272 without a remainder.

1, 2, 36643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73272 and 73286. The biggest common factor number is the GCF number.
So the greatest common factor 73272 and 73286 is 2.

Also check out the Least Common Multiple of 73272 and 73286