What is the Greatest Common Factor of 73459 and 73472?

Greatest common factor (GCF) of 73459 and 73472 is 1.

GCF(73459,73472) = 1

We will now calculate the prime factors of 73459 and 73472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73459 and 73472.

How to find the GCF of 73459 and 73472?

We will first find the prime factorization of 73459 and 73472. After we will calculate the factors of 73459 and 73472 and find the biggest common factor number .

Step-1: Prime Factorization of 73459

Prime factors of 73459 are 73459. Prime factorization of 73459 in exponential form is:

73459 = 73459¹

Step-2: Prime Factorization of 73472

Prime factors of 73472 are 2, 7, 41. Prime factorization of 73472 in exponential form is:

73472 = 2⁸ × 7¹ × 41¹

Step-3: Factors of 73459

List of positive integer factors of 73459 that divides 73459 without a remainder.

Step-4: Factors of 73472

List of positive integer factors of 73472 that divides 73459 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 41, 56, 64, 82, 112, 128, 164, 224, 256, 287, 328, 448, 574, 656, 896, 1148, 1312, 1792, 2296, 2624, 4592, 5248, 9184, 10496, 18368, 36736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73459 and 73472. The biggest common factor number is the GCF number.
So the greatest common factor 73459 and 73472 is 1.

Also check out the Least Common Multiple of 73459 and 73472