What is the Greatest Common Factor of 45400 and 45408?

Greatest common factor (GCF) of 45400 and 45408 is 8.

GCF(45400,45408) = 8

We will now calculate the prime factors of 45400 and 45408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45400 and 45408.

How to find the GCF of 45400 and 45408?

We will first find the prime factorization of 45400 and 45408. After we will calculate the factors of 45400 and 45408 and find the biggest common factor number .

Step-1: Prime Factorization of 45400

Prime factors of 45400 are 2, 5, 227. Prime factorization of 45400 in exponential form is:

45400 = 2³ × 5² × 227¹

Step-2: 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-3: Factors of 45400

List of positive integer factors of 45400 that divides 45400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 227, 454, 908, 1135, 1816, 2270, 4540, 5675, 9080, 11350, 22700

Step-4: Factors of 45408

List of positive integer factors of 45408 that divides 45400 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45400 and 45408. The biggest common factor number is the GCF number.
So the greatest common factor 45400 and 45408 is 8.

Also check out the Least Common Multiple of 45400 and 45408