What is the Greatest Common Factor of 73281 and 73294?

Greatest common factor (GCF) of 73281 and 73294 is 13.

GCF(73281,73294) = 13

We will now calculate the prime factors of 73281 and 73294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73281 and 73294.

How to find the GCF of 73281 and 73294?

We will first find the prime factorization of 73281 and 73294. After we will calculate the factors of 73281 and 73294 and find the biggest common factor number .

Step-1: Prime Factorization of 73281

Prime factors of 73281 are 3, 13, 1879. Prime factorization of 73281 in exponential form is:

73281 = 3¹ × 13¹ × 1879¹

Step-2: Prime Factorization of 73294

Prime factors of 73294 are 2, 13, 2819. Prime factorization of 73294 in exponential form is:

73294 = 2¹ × 13¹ × 2819¹

Step-3: Factors of 73281

List of positive integer factors of 73281 that divides 73281 without a remainder.

1, 3, 13, 39, 1879, 5637, 24427

Step-4: Factors of 73294

List of positive integer factors of 73294 that divides 73281 without a remainder.

1, 2, 13, 26, 2819, 5638, 36647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73281 and 73294. The biggest common factor number is the GCF number.
So the greatest common factor 73281 and 73294 is 13.

Also check out the Least Common Multiple of 73281 and 73294