What is the Greatest Common Factor of 25714 and 25719?

Greatest common factor (GCF) of 25714 and 25719 is 1.

GCF(25714,25719) = 1

We will now calculate the prime factors of 25714 and 25719, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25714 and 25719.

How to find the GCF of 25714 and 25719?

We will first find the prime factorization of 25714 and 25719. After we will calculate the factors of 25714 and 25719 and find the biggest common factor number .

Step-1: Prime Factorization of 25714

Prime factors of 25714 are 2, 13, 23, 43. Prime factorization of 25714 in exponential form is:

25714 = 2¹ × 13¹ × 23¹ × 43¹

Step-2: Prime Factorization of 25719

Prime factors of 25719 are 3, 8573. Prime factorization of 25719 in exponential form is:

25719 = 3¹ × 8573¹

Step-3: Factors of 25714

List of positive integer factors of 25714 that divides 25714 without a remainder.

1, 2, 13, 23, 26, 43, 46, 86, 299, 559, 598, 989, 1118, 1978, 12857

Step-4: Factors of 25719

List of positive integer factors of 25719 that divides 25714 without a remainder.

1, 3, 8573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25714 and 25719. The biggest common factor number is the GCF number.
So the greatest common factor 25714 and 25719 is 1.

Also check out the Least Common Multiple of 25714 and 25719