What is the Greatest Common Factor of 25432 and 25449?

Greatest common factor (GCF) of 25432 and 25449 is 17.

GCF(25432,25449) = 17

We will now calculate the prime factors of 25432 and 25449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25432 and 25449.

How to find the GCF of 25432 and 25449?

We will first find the prime factorization of 25432 and 25449. After we will calculate the factors of 25432 and 25449 and find the biggest common factor number .

Step-1: Prime Factorization of 25432

Prime factors of 25432 are 2, 11, 17. Prime factorization of 25432 in exponential form is:

25432 = 2³ × 11¹ × 17²

Step-2: Prime Factorization of 25449

Prime factors of 25449 are 3, 17, 499. Prime factorization of 25449 in exponential form is:

25449 = 3¹ × 17¹ × 499¹

Step-3: Factors of 25432

List of positive integer factors of 25432 that divides 25432 without a remainder.

1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 289, 374, 578, 748, 1156, 1496, 2312, 3179, 6358, 12716

Step-4: Factors of 25449

List of positive integer factors of 25449 that divides 25432 without a remainder.

1, 3, 17, 51, 499, 1497, 8483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25432 and 25449. The biggest common factor number is the GCF number.
So the greatest common factor 25432 and 25449 is 17.

Also check out the Least Common Multiple of 25432 and 25449