What is the Greatest Common Factor of 25421 and 25429?

Greatest common factor (GCF) of 25421 and 25429 is 1.

GCF(25421,25429) = 1

We will now calculate the prime factors of 25421 and 25429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25421 and 25429.

How to find the GCF of 25421 and 25429?

We will first find the prime factorization of 25421 and 25429. After we will calculate the factors of 25421 and 25429 and find the biggest common factor number .

Step-1: Prime Factorization of 25421

Prime factors of 25421 are 11, 2311. Prime factorization of 25421 in exponential form is:

25421 = 11¹ × 2311¹

Step-2: Prime Factorization of 25429

Prime factors of 25429 are 59, 431. Prime factorization of 25429 in exponential form is:

25429 = 59¹ × 431¹

Step-3: Factors of 25421

List of positive integer factors of 25421 that divides 25421 without a remainder.

1, 11, 2311

Step-4: Factors of 25429

List of positive integer factors of 25429 that divides 25421 without a remainder.

1, 59, 431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25421 and 25429. The biggest common factor number is the GCF number.
So the greatest common factor 25421 and 25429 is 1.

Also check out the Least Common Multiple of 25421 and 25429