What is the Greatest Common Factor of 75440 and 75454?

Greatest common factor (GCF) of 75440 and 75454 is 2.

GCF(75440,75454) = 2

We will now calculate the prime factors of 75440 and 75454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75440 and 75454.

How to find the GCF of 75440 and 75454?

We will first find the prime factorization of 75440 and 75454. After we will calculate the factors of 75440 and 75454 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 75454

Prime factors of 75454 are 2, 31, 1217. Prime factorization of 75454 in exponential form is:

75454 = 2¹ × 31¹ × 1217¹

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 75454

List of positive integer factors of 75454 that divides 75440 without a remainder.

1, 2, 31, 62, 1217, 2434, 37727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75440 and 75454. The biggest common factor number is the GCF number.
So the greatest common factor 75440 and 75454 is 2.

Also check out the Least Common Multiple of 75440 and 75454