What is the Greatest Common Factor of 25217 and 25234?

Greatest common factor (GCF) of 25217 and 25234 is 1.

GCF(25217,25234) = 1

We will now calculate the prime factors of 25217 and 25234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25217 and 25234.

How to find the GCF of 25217 and 25234?

We will first find the prime factorization of 25217 and 25234. After we will calculate the factors of 25217 and 25234 and find the biggest common factor number .

Step-1: Prime Factorization of 25217

Prime factors of 25217 are 151, 167. Prime factorization of 25217 in exponential form is:

25217 = 151¹ × 167¹

Step-2: Prime Factorization of 25234

Prime factors of 25234 are 2, 11, 31, 37. Prime factorization of 25234 in exponential form is:

25234 = 2¹ × 11¹ × 31¹ × 37¹

Step-3: Factors of 25217

List of positive integer factors of 25217 that divides 25217 without a remainder.

1, 151, 167

Step-4: Factors of 25234

List of positive integer factors of 25234 that divides 25217 without a remainder.

1, 2, 11, 22, 31, 37, 62, 74, 341, 407, 682, 814, 1147, 2294, 12617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25217 and 25234. The biggest common factor number is the GCF number.
So the greatest common factor 25217 and 25234 is 1.

Also check out the Least Common Multiple of 25217 and 25234