What is the Greatest Common Factor of 72304 and 72310?

Greatest common factor (GCF) of 72304 and 72310 is 2.

GCF(72304,72310) = 2

We will now calculate the prime factors of 72304 and 72310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72304 and 72310.

How to find the GCF of 72304 and 72310?

We will first find the prime factorization of 72304 and 72310. After we will calculate the factors of 72304 and 72310 and find the biggest common factor number .

Step-1: Prime Factorization of 72304

Prime factors of 72304 are 2, 4519. Prime factorization of 72304 in exponential form is:

72304 = 2⁴ × 4519¹

Step-2: Prime Factorization of 72310

Prime factors of 72310 are 2, 5, 7, 1033. Prime factorization of 72310 in exponential form is:

72310 = 2¹ × 5¹ × 7¹ × 1033¹

Step-3: Factors of 72304

List of positive integer factors of 72304 that divides 72304 without a remainder.

1, 2, 4, 8, 16, 4519, 9038, 18076, 36152

Step-4: Factors of 72310

List of positive integer factors of 72310 that divides 72304 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1033, 2066, 5165, 7231, 10330, 14462, 36155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72304 and 72310. The biggest common factor number is the GCF number.
So the greatest common factor 72304 and 72310 is 2.

Also check out the Least Common Multiple of 72304 and 72310