What is the Greatest Common Factor of 73456 and 73472?

Greatest common factor (GCF) of 73456 and 73472 is 16.

GCF(73456,73472) = 16

We will now calculate the prime factors of 73456 and 73472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73456 and 73472.

How to find the GCF of 73456 and 73472?

We will first find the prime factorization of 73456 and 73472. After we will calculate the factors of 73456 and 73472 and find the biggest common factor number .

Step-1: Prime Factorization of 73456

Prime factors of 73456 are 2, 4591. Prime factorization of 73456 in exponential form is:

73456 = 2⁴ × 4591¹

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 73456

List of positive integer factors of 73456 that divides 73456 without a remainder.

1, 2, 4, 8, 16, 4591, 9182, 18364, 36728

Step-4: Factors of 73472

List of positive integer factors of 73472 that divides 73456 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 73456 and 73472. The biggest common factor number is the GCF number.
So the greatest common factor 73456 and 73472 is 16.

Also check out the Least Common Multiple of 73456 and 73472