What is the Greatest Common Factor of 25187 and 25207?

Greatest common factor (GCF) of 25187 and 25207 is 1.

GCF(25187,25207) = 1

We will now calculate the prime factors of 25187 and 25207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25187 and 25207.

How to find the GCF of 25187 and 25207?

We will first find the prime factorization of 25187 and 25207. After we will calculate the factors of 25187 and 25207 and find the biggest common factor number .

Step-1: Prime Factorization of 25187

Prime factors of 25187 are 89, 283. Prime factorization of 25187 in exponential form is:

25187 = 89¹ × 283¹

Step-2: Prime Factorization of 25207

Prime factors of 25207 are 7, 13, 277. Prime factorization of 25207 in exponential form is:

25207 = 7¹ × 13¹ × 277¹

Step-3: Factors of 25187

List of positive integer factors of 25187 that divides 25187 without a remainder.

1, 89, 283

Step-4: Factors of 25207

List of positive integer factors of 25207 that divides 25187 without a remainder.

1, 7, 13, 91, 277, 1939, 3601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25187 and 25207. The biggest common factor number is the GCF number.
So the greatest common factor 25187 and 25207 is 1.

Also check out the Least Common Multiple of 25187 and 25207