What is the Greatest Common Factor of 25414 and 25430?

Greatest common factor (GCF) of 25414 and 25430 is 2.

GCF(25414,25430) = 2

We will now calculate the prime factors of 25414 and 25430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25414 and 25430.

How to find the GCF of 25414 and 25430?

We will first find the prime factorization of 25414 and 25430. After we will calculate the factors of 25414 and 25430 and find the biggest common factor number .

Step-1: Prime Factorization of 25414

Prime factors of 25414 are 2, 97, 131. Prime factorization of 25414 in exponential form is:

25414 = 2¹ × 97¹ × 131¹

Step-2: Prime Factorization of 25430

Prime factors of 25430 are 2, 5, 2543. Prime factorization of 25430 in exponential form is:

25430 = 2¹ × 5¹ × 2543¹

Step-3: Factors of 25414

List of positive integer factors of 25414 that divides 25414 without a remainder.

1, 2, 97, 131, 194, 262, 12707

Step-4: Factors of 25430

List of positive integer factors of 25430 that divides 25414 without a remainder.

1, 2, 5, 10, 2543, 5086, 12715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25414 and 25430. The biggest common factor number is the GCF number.
So the greatest common factor 25414 and 25430 is 2.

Also check out the Least Common Multiple of 25414 and 25430