What is the Greatest Common Factor of 12410 and 12425?

Greatest common factor (GCF) of 12410 and 12425 is 5.

GCF(12410,12425) = 5

We will now calculate the prime factors of 12410 and 12425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12410 and 12425.

How to find the GCF of 12410 and 12425?

We will first find the prime factorization of 12410 and 12425. After we will calculate the factors of 12410 and 12425 and find the biggest common factor number .

Step-1: Prime Factorization of 12410

Prime factors of 12410 are 2, 5, 17, 73. Prime factorization of 12410 in exponential form is:

12410 = 2¹ × 5¹ × 17¹ × 73¹

Step-2: Prime Factorization of 12425

Prime factors of 12425 are 5, 7, 71. Prime factorization of 12425 in exponential form is:

12425 = 5² × 7¹ × 71¹

Step-3: Factors of 12410

List of positive integer factors of 12410 that divides 12410 without a remainder.

1, 2, 5, 10, 17, 34, 73, 85, 146, 170, 365, 730, 1241, 2482, 6205

Step-4: Factors of 12425

List of positive integer factors of 12425 that divides 12410 without a remainder.

1, 5, 7, 25, 35, 71, 175, 355, 497, 1775, 2485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12410 and 12425. The biggest common factor number is the GCF number.
So the greatest common factor 12410 and 12425 is 5.

Also check out the Least Common Multiple of 12410 and 12425