What is the Greatest Common Factor of 73464 and 73472?

Greatest common factor (GCF) of 73464 and 73472 is 8.

GCF(73464,73472) = 8

We will now calculate the prime factors of 73464 and 73472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73464 and 73472.

How to find the GCF of 73464 and 73472?

We will first find the prime factorization of 73464 and 73472. After we will calculate the factors of 73464 and 73472 and find the biggest common factor number .

Step-1: Prime Factorization of 73464

Prime factors of 73464 are 2, 3, 3061. Prime factorization of 73464 in exponential form is:

73464 = 2³ × 3¹ × 3061¹

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 73464

List of positive integer factors of 73464 that divides 73464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3061, 6122, 9183, 12244, 18366, 24488, 36732

Step-4: Factors of 73472

List of positive integer factors of 73472 that divides 73464 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 73464 and 73472. The biggest common factor number is the GCF number.
So the greatest common factor 73464 and 73472 is 8.

Also check out the Least Common Multiple of 73464 and 73472