What is the Greatest Common Factor of 72296 and 72311?

Greatest common factor (GCF) of 72296 and 72311 is 1.

GCF(72296,72311) = 1

We will now calculate the prime factors of 72296 and 72311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72296 and 72311.

How to find the GCF of 72296 and 72311?

We will first find the prime factorization of 72296 and 72311. After we will calculate the factors of 72296 and 72311 and find the biggest common factor number .

Step-1: Prime Factorization of 72296

Prime factors of 72296 are 2, 7, 1291. Prime factorization of 72296 in exponential form is:

72296 = 2³ × 7¹ × 1291¹

Step-2: Prime Factorization of 72311

Prime factors of 72311 are 167, 433. Prime factorization of 72311 in exponential form is:

72311 = 167¹ × 433¹

Step-3: Factors of 72296

List of positive integer factors of 72296 that divides 72296 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1291, 2582, 5164, 9037, 10328, 18074, 36148

Step-4: Factors of 72311

List of positive integer factors of 72311 that divides 72296 without a remainder.

1, 167, 433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72296 and 72311. The biggest common factor number is the GCF number.
So the greatest common factor 72296 and 72311 is 1.

Also check out the Least Common Multiple of 72296 and 72311