What is the Greatest Common Factor of 75400 and 75409?

Greatest common factor (GCF) of 75400 and 75409 is 1.

GCF(75400,75409) = 1

We will now calculate the prime factors of 75400 and 75409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75400 and 75409.

How to find the GCF of 75400 and 75409?

We will first find the prime factorization of 75400 and 75409. After we will calculate the factors of 75400 and 75409 and find the biggest common factor number .

Step-1: Prime Factorization of 75400

Prime factors of 75400 are 2, 5, 13, 29. Prime factorization of 75400 in exponential form is:

75400 = 2³ × 5² × 13¹ × 29¹

Step-2: Prime Factorization of 75409

Prime factors of 75409 are 73, 1033. Prime factorization of 75409 in exponential form is:

75409 = 73¹ × 1033¹

Step-3: Factors of 75400

List of positive integer factors of 75400 that divides 75400 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 29, 40, 50, 52, 58, 65, 100, 104, 116, 130, 145, 200, 232, 260, 290, 325, 377, 520, 580, 650, 725, 754, 1160, 1300, 1450, 1508, 1885, 2600, 2900, 3016, 3770, 5800, 7540, 9425, 15080, 18850, 37700

Step-4: Factors of 75409

List of positive integer factors of 75409 that divides 75400 without a remainder.

1, 73, 1033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75400 and 75409. The biggest common factor number is the GCF number.
So the greatest common factor 75400 and 75409 is 1.

Also check out the Least Common Multiple of 75400 and 75409