What is the Greatest Common Factor of 75400 and 75413?

Greatest common factor (GCF) of 75400 and 75413 is 13.

GCF(75400,75413) = 13

We will now calculate the prime factors of 75400 and 75413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75400 and 75413.

How to find the GCF of 75400 and 75413?

We will first find the prime factorization of 75400 and 75413. After we will calculate the factors of 75400 and 75413 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 75413

Prime factors of 75413 are 13, 5801. Prime factorization of 75413 in exponential form is:

75413 = 13¹ × 5801¹

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 75413

List of positive integer factors of 75413 that divides 75400 without a remainder.

1, 13, 5801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75400 and 75413. The biggest common factor number is the GCF number.
So the greatest common factor 75400 and 75413 is 13.

Also check out the Least Common Multiple of 75400 and 75413