What is the Greatest Common Factor of 25214 and 25231?

Greatest common factor (GCF) of 25214 and 25231 is 1.

GCF(25214,25231) = 1

We will now calculate the prime factors of 25214 and 25231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25214 and 25231.

How to find the GCF of 25214 and 25231?

We will first find the prime factorization of 25214 and 25231. After we will calculate the factors of 25214 and 25231 and find the biggest common factor number .

Step-1: Prime Factorization of 25214

Prime factors of 25214 are 2, 7, 1801. Prime factorization of 25214 in exponential form is:

25214 = 2¹ × 7¹ × 1801¹

Step-2: Prime Factorization of 25231

Prime factors of 25231 are 23, 1097. Prime factorization of 25231 in exponential form is:

25231 = 23¹ × 1097¹

Step-3: Factors of 25214

List of positive integer factors of 25214 that divides 25214 without a remainder.

1, 2, 7, 14, 1801, 3602, 12607

Step-4: Factors of 25231

List of positive integer factors of 25231 that divides 25214 without a remainder.

1, 23, 1097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25214 and 25231. The biggest common factor number is the GCF number.
So the greatest common factor 25214 and 25231 is 1.

Also check out the Least Common Multiple of 25214 and 25231