What is the Greatest Common Factor of 25415 and 25432?

Greatest common factor (GCF) of 25415 and 25432 is 17.

GCF(25415,25432) = 17

We will now calculate the prime factors of 25415 and 25432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25415 and 25432.

How to find the GCF of 25415 and 25432?

We will first find the prime factorization of 25415 and 25432. After we will calculate the factors of 25415 and 25432 and find the biggest common factor number .

Step-1: Prime Factorization of 25415

Prime factors of 25415 are 5, 13, 17, 23. Prime factorization of 25415 in exponential form is:

25415 = 5¹ × 13¹ × 17¹ × 23¹

Step-2: 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-3: Factors of 25415

List of positive integer factors of 25415 that divides 25415 without a remainder.

1, 5, 13, 17, 23, 65, 85, 115, 221, 299, 391, 1105, 1495, 1955, 5083

Step-4: Factors of 25432

List of positive integer factors of 25432 that divides 25415 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25415 and 25432. The biggest common factor number is the GCF number.
So the greatest common factor 25415 and 25432 is 17.

Also check out the Least Common Multiple of 25415 and 25432