What is the Greatest Common Factor of 76275 and 76285?

Greatest common factor (GCF) of 76275 and 76285 is 5.

GCF(76275,76285) = 5

We will now calculate the prime factors of 76275 and 76285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76275 and 76285.

How to find the GCF of 76275 and 76285?

We will first find the prime factorization of 76275 and 76285. After we will calculate the factors of 76275 and 76285 and find the biggest common factor number .

Step-1: Prime Factorization of 76275

Prime factors of 76275 are 3, 5, 113. Prime factorization of 76275 in exponential form is:

76275 = 3³ × 5² × 113¹

Step-2: Prime Factorization of 76285

Prime factors of 76285 are 5, 11, 19, 73. Prime factorization of 76285 in exponential form is:

76285 = 5¹ × 11¹ × 19¹ × 73¹

Step-3: Factors of 76275

List of positive integer factors of 76275 that divides 76275 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 113, 135, 225, 339, 565, 675, 1017, 1695, 2825, 3051, 5085, 8475, 15255, 25425

Step-4: Factors of 76285

List of positive integer factors of 76285 that divides 76275 without a remainder.

1, 5, 11, 19, 55, 73, 95, 209, 365, 803, 1045, 1387, 4015, 6935, 15257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76275 and 76285. The biggest common factor number is the GCF number.
So the greatest common factor 76275 and 76285 is 5.

Also check out the Least Common Multiple of 76275 and 76285