What is the Greatest Common Factor of 75400 and 75415?

Greatest common factor (GCF) of 75400 and 75415 is 5.

GCF(75400,75415) = 5

We will now calculate the prime factors of 75400 and 75415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75400 and 75415.

How to find the GCF of 75400 and 75415?

We will first find the prime factorization of 75400 and 75415. After we will calculate the factors of 75400 and 75415 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 75415

Prime factors of 75415 are 5, 15083. Prime factorization of 75415 in exponential form is:

75415 = 5¹ × 15083¹

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 75415

List of positive integer factors of 75415 that divides 75400 without a remainder.

1, 5, 15083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75400 and 75415. The biggest common factor number is the GCF number.
So the greatest common factor 75400 and 75415 is 5.

Also check out the Least Common Multiple of 75400 and 75415