What is the Greatest Common Factor of 72233 and 72249?

Greatest common factor (GCF) of 72233 and 72249 is 1.

GCF(72233,72249) = 1

We will now calculate the prime factors of 72233 and 72249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72233 and 72249.

How to find the GCF of 72233 and 72249?

We will first find the prime factorization of 72233 and 72249. After we will calculate the factors of 72233 and 72249 and find the biggest common factor number .

Step-1: Prime Factorization of 72233

Prime factors of 72233 are 7, 17, 607. Prime factorization of 72233 in exponential form is:

72233 = 7¹ × 17¹ × 607¹

Step-2: Prime Factorization of 72249

Prime factors of 72249 are 3, 24083. Prime factorization of 72249 in exponential form is:

72249 = 3¹ × 24083¹

Step-3: Factors of 72233

List of positive integer factors of 72233 that divides 72233 without a remainder.

1, 7, 17, 119, 607, 4249, 10319

Step-4: Factors of 72249

List of positive integer factors of 72249 that divides 72233 without a remainder.

1, 3, 24083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72233 and 72249. The biggest common factor number is the GCF number.
So the greatest common factor 72233 and 72249 is 1.

Also check out the Least Common Multiple of 72233 and 72249