What is the Greatest Common Factor of 75440 and 75460?

Greatest common factor (GCF) of 75440 and 75460 is 20.

GCF(75440,75460) = 20

We will now calculate the prime factors of 75440 and 75460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75440 and 75460.

How to find the GCF of 75440 and 75460?

We will first find the prime factorization of 75440 and 75460. After we will calculate the factors of 75440 and 75460 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 75460

Prime factors of 75460 are 2, 5, 7, 11. Prime factorization of 75460 in exponential form is:

75460 = 2² × 5¹ × 7³ × 11¹

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 75460

List of positive integer factors of 75460 that divides 75440 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 49, 55, 70, 77, 98, 110, 140, 154, 196, 220, 245, 308, 343, 385, 490, 539, 686, 770, 980, 1078, 1372, 1540, 1715, 2156, 2695, 3430, 3773, 5390, 6860, 7546, 10780, 15092, 18865, 37730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75440 and 75460. The biggest common factor number is the GCF number.
So the greatest common factor 75440 and 75460 is 20.

Also check out the Least Common Multiple of 75440 and 75460