What is the Greatest Common Factor of 12455 and 12475?

Greatest common factor (GCF) of 12455 and 12475 is 5.

GCF(12455,12475) = 5

We will now calculate the prime factors of 12455 and 12475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12455 and 12475.

How to find the GCF of 12455 and 12475?

We will first find the prime factorization of 12455 and 12475. After we will calculate the factors of 12455 and 12475 and find the biggest common factor number .

Step-1: Prime Factorization of 12455

Prime factors of 12455 are 5, 47, 53. Prime factorization of 12455 in exponential form is:

12455 = 5¹ × 47¹ × 53¹

Step-2: Prime Factorization of 12475

Prime factors of 12475 are 5, 499. Prime factorization of 12475 in exponential form is:

12475 = 5² × 499¹

Step-3: Factors of 12455

List of positive integer factors of 12455 that divides 12455 without a remainder.

1, 5, 47, 53, 235, 265, 2491

Step-4: Factors of 12475

List of positive integer factors of 12475 that divides 12455 without a remainder.

1, 5, 25, 499, 2495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12455 and 12475. The biggest common factor number is the GCF number.
So the greatest common factor 12455 and 12475 is 5.

Also check out the Least Common Multiple of 12455 and 12475