What is the Greatest Common Factor of 45408 and 45423?

Greatest common factor (GCF) of 45408 and 45423 is 3.

GCF(45408,45423) = 3

We will now calculate the prime factors of 45408 and 45423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45408 and 45423.

How to find the GCF of 45408 and 45423?

We will first find the prime factorization of 45408 and 45423. After we will calculate the factors of 45408 and 45423 and find the biggest common factor number .

Step-1: Prime Factorization of 45408

Prime factors of 45408 are 2, 3, 11, 43. Prime factorization of 45408 in exponential form is:

45408 = 2⁵ × 3¹ × 11¹ × 43¹

Step-2: Prime Factorization of 45423

Prime factors of 45423 are 3, 7, 103. Prime factorization of 45423 in exponential form is:

45423 = 3² × 7² × 103¹

Step-3: Factors of 45408

List of positive integer factors of 45408 that divides 45408 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 43, 44, 48, 66, 86, 88, 96, 129, 132, 172, 176, 258, 264, 344, 352, 473, 516, 528, 688, 946, 1032, 1056, 1376, 1419, 1892, 2064, 2838, 3784, 4128, 5676, 7568, 11352, 15136, 22704

Step-4: Factors of 45423

List of positive integer factors of 45423 that divides 45408 without a remainder.

1, 3, 7, 9, 21, 49, 63, 103, 147, 309, 441, 721, 927, 2163, 5047, 6489, 15141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45408 and 45423. The biggest common factor number is the GCF number.
So the greatest common factor 45408 and 45423 is 3.

Also check out the Least Common Multiple of 45408 and 45423