What is the Greatest Common Factor of 75440 and 75456?

Greatest common factor (GCF) of 75440 and 75456 is 16.

GCF(75440,75456) = 16

We will now calculate the prime factors of 75440 and 75456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75440 and 75456.

How to find the GCF of 75440 and 75456?

We will first find the prime factorization of 75440 and 75456. After we will calculate the factors of 75440 and 75456 and find the biggest common factor number .

Step-1: Prime Factorization of 75440

Prime factors of 75440 are 2, 5, 23, 41. Prime factorization of 75440 in exponential form is:

75440 = 2⁴ × 5¹ × 23¹ × 41¹

Step-2: Prime Factorization of 75456

Prime factors of 75456 are 2, 3, 131. Prime factorization of 75456 in exponential form is:

75456 = 2⁶ × 3² × 131¹

Step-3: Factors of 75440

List of positive integer factors of 75440 that divides 75440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 41, 46, 80, 82, 92, 115, 164, 184, 205, 230, 328, 368, 410, 460, 656, 820, 920, 943, 1640, 1840, 1886, 3280, 3772, 4715, 7544, 9430, 15088, 18860, 37720

Step-4: Factors of 75456

List of positive integer factors of 75456 that divides 75440 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 131, 144, 192, 262, 288, 393, 524, 576, 786, 1048, 1179, 1572, 2096, 2358, 3144, 4192, 4716, 6288, 8384, 9432, 12576, 18864, 25152, 37728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75440 and 75456. The biggest common factor number is the GCF number.
So the greatest common factor 75440 and 75456 is 16.

Also check out the Least Common Multiple of 75440 and 75456