What is the Greatest Common Factor of 73231 and 73249?

Greatest common factor (GCF) of 73231 and 73249 is 1.

GCF(73231,73249) = 1

We will now calculate the prime factors of 73231 and 73249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73231 and 73249.

How to find the GCF of 73231 and 73249?

We will first find the prime factorization of 73231 and 73249. After we will calculate the factors of 73231 and 73249 and find the biggest common factor number .

Step-1: Prime Factorization of 73231

Prime factors of 73231 are 67, 1093. Prime factorization of 73231 in exponential form is:

73231 = 67¹ × 1093¹

Step-2: Prime Factorization of 73249

Prime factors of 73249 are 11, 6659. Prime factorization of 73249 in exponential form is:

73249 = 11¹ × 6659¹

Step-3: Factors of 73231

List of positive integer factors of 73231 that divides 73231 without a remainder.

1, 67, 1093

Step-4: Factors of 73249

List of positive integer factors of 73249 that divides 73231 without a remainder.

1, 11, 6659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73231 and 73249. The biggest common factor number is the GCF number.
So the greatest common factor 73231 and 73249 is 1.

Also check out the Least Common Multiple of 73231 and 73249