What is the Greatest Common Factor of 12425 and 12431?

Greatest common factor (GCF) of 12425 and 12431 is 1.

GCF(12425,12431) = 1

We will now calculate the prime factors of 12425 and 12431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12425 and 12431.

How to find the GCF of 12425 and 12431?

We will first find the prime factorization of 12425 and 12431. After we will calculate the factors of 12425 and 12431 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12431

Prime factors of 12431 are 31, 401. Prime factorization of 12431 in exponential form is:

12431 = 31¹ × 401¹

Step-3: Factors of 12425

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

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

Step-4: Factors of 12431

List of positive integer factors of 12431 that divides 12425 without a remainder.

1, 31, 401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12425 and 12431. The biggest common factor number is the GCF number.
So the greatest common factor 12425 and 12431 is 1.

Also check out the Least Common Multiple of 12425 and 12431