What is the Greatest Common Factor of 25126 and 25143?

Greatest common factor (GCF) of 25126 and 25143 is 17.

GCF(25126,25143) = 17

We will now calculate the prime factors of 25126 and 25143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25126 and 25143.

How to find the GCF of 25126 and 25143?

We will first find the prime factorization of 25126 and 25143. After we will calculate the factors of 25126 and 25143 and find the biggest common factor number .

Step-1: Prime Factorization of 25126

Prime factors of 25126 are 2, 17, 739. Prime factorization of 25126 in exponential form is:

25126 = 2¹ × 17¹ × 739¹

Step-2: Prime Factorization of 25143

Prime factors of 25143 are 3, 17, 29. Prime factorization of 25143 in exponential form is:

25143 = 3¹ × 17² × 29¹

Step-3: Factors of 25126

List of positive integer factors of 25126 that divides 25126 without a remainder.

1, 2, 17, 34, 739, 1478, 12563

Step-4: Factors of 25143

List of positive integer factors of 25143 that divides 25126 without a remainder.

1, 3, 17, 29, 51, 87, 289, 493, 867, 1479, 8381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25126 and 25143. The biggest common factor number is the GCF number.
So the greatest common factor 25126 and 25143 is 17.

Also check out the Least Common Multiple of 25126 and 25143