What is the Greatest Common Factor of 75440 and 75450?

Greatest common factor (GCF) of 75440 and 75450 is 10.

GCF(75440,75450) = 10

We will now calculate the prime factors of 75440 and 75450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75440 and 75450.

How to find the GCF of 75440 and 75450?

We will first find the prime factorization of 75440 and 75450. After we will calculate the factors of 75440 and 75450 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 75450

Prime factors of 75450 are 2, 3, 5, 503. Prime factorization of 75450 in exponential form is:

75450 = 2¹ × 3¹ × 5² × 503¹

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 75450

List of positive integer factors of 75450 that divides 75440 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 503, 1006, 1509, 2515, 3018, 5030, 7545, 12575, 15090, 25150, 37725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75440 and 75450. The biggest common factor number is the GCF number.
So the greatest common factor 75440 and 75450 is 10.

Also check out the Least Common Multiple of 75440 and 75450