What is the Greatest Common Factor of 72499 and 72503?

Greatest common factor (GCF) of 72499 and 72503 is 1.

GCF(72499,72503) = 1

We will now calculate the prime factors of 72499 and 72503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72499 and 72503.

How to find the GCF of 72499 and 72503?

We will first find the prime factorization of 72499 and 72503. After we will calculate the factors of 72499 and 72503 and find the biggest common factor number .

Step-1: Prime Factorization of 72499

Prime factors of 72499 are 7, 10357. Prime factorization of 72499 in exponential form is:

72499 = 7¹ × 10357¹

Step-2: Prime Factorization of 72503

Prime factors of 72503 are 72503. Prime factorization of 72503 in exponential form is:

72503 = 72503¹

Step-3: Factors of 72499

List of positive integer factors of 72499 that divides 72499 without a remainder.

1, 7, 10357

Step-4: Factors of 72503

List of positive integer factors of 72503 that divides 72499 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72499 and 72503. The biggest common factor number is the GCF number.
So the greatest common factor 72499 and 72503 is 1.

Also check out the Least Common Multiple of 72499 and 72503