What is the Greatest Common Factor of 73455 and 73472?

Greatest common factor (GCF) of 73455 and 73472 is 1.

GCF(73455,73472) = 1

We will now calculate the prime factors of 73455 and 73472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73455 and 73472.

How to find the GCF of 73455 and 73472?

We will first find the prime factorization of 73455 and 73472. After we will calculate the factors of 73455 and 73472 and find the biggest common factor number .

Step-1: Prime Factorization of 73455

Prime factors of 73455 are 3, 5, 59, 83. Prime factorization of 73455 in exponential form is:

73455 = 3¹ × 5¹ × 59¹ × 83¹

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 73455

List of positive integer factors of 73455 that divides 73455 without a remainder.

1, 3, 5, 15, 59, 83, 177, 249, 295, 415, 885, 1245, 4897, 14691, 24485

Step-4: Factors of 73472

List of positive integer factors of 73472 that divides 73455 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 73455 and 73472. The biggest common factor number is the GCF number.
So the greatest common factor 73455 and 73472 is 1.

Also check out the Least Common Multiple of 73455 and 73472