What is the Greatest Common Factor of 72459 and 72473?

Greatest common factor (GCF) of 72459 and 72473 is 1.

GCF(72459,72473) = 1

We will now calculate the prime factors of 72459 and 72473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72459 and 72473.

How to find the GCF of 72459 and 72473?

We will first find the prime factorization of 72459 and 72473. After we will calculate the factors of 72459 and 72473 and find the biggest common factor number .

Step-1: Prime Factorization of 72459

Prime factors of 72459 are 3, 83, 97. Prime factorization of 72459 in exponential form is:

72459 = 3² × 83¹ × 97¹

Step-2: Prime Factorization of 72473

Prime factors of 72473 are 23, 137. Prime factorization of 72473 in exponential form is:

72473 = 23² × 137¹

Step-3: Factors of 72459

List of positive integer factors of 72459 that divides 72459 without a remainder.

1, 3, 9, 83, 97, 249, 291, 747, 873, 8051, 24153

Step-4: Factors of 72473

List of positive integer factors of 72473 that divides 72459 without a remainder.

1, 23, 137, 529, 3151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72459 and 72473. The biggest common factor number is the GCF number.
So the greatest common factor 72459 and 72473 is 1.

Also check out the Least Common Multiple of 72459 and 72473