What is the Greatest Common Factor of 73288 and 73308?

Greatest common factor (GCF) of 73288 and 73308 is 4.

GCF(73288,73308) = 4

We will now calculate the prime factors of 73288 and 73308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73288 and 73308.

How to find the GCF of 73288 and 73308?

We will first find the prime factorization of 73288 and 73308. After we will calculate the factors of 73288 and 73308 and find the biggest common factor number .

Step-1: Prime Factorization of 73288

Prime factors of 73288 are 2, 9161. Prime factorization of 73288 in exponential form is:

73288 = 2³ × 9161¹

Step-2: Prime Factorization of 73308

Prime factors of 73308 are 2, 3, 41, 149. Prime factorization of 73308 in exponential form is:

73308 = 2² × 3¹ × 41¹ × 149¹

Step-3: Factors of 73288

List of positive integer factors of 73288 that divides 73288 without a remainder.

1, 2, 4, 8, 9161, 18322, 36644

Step-4: Factors of 73308

List of positive integer factors of 73308 that divides 73288 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 149, 164, 246, 298, 447, 492, 596, 894, 1788, 6109, 12218, 18327, 24436, 36654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73288 and 73308. The biggest common factor number is the GCF number.
So the greatest common factor 73288 and 73308 is 4.

Also check out the Least Common Multiple of 73288 and 73308