What is the Greatest Common Factor of 25414 and 25428?

Greatest common factor (GCF) of 25414 and 25428 is 2.

GCF(25414,25428) = 2

We will now calculate the prime factors of 25414 and 25428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25414 and 25428.

How to find the GCF of 25414 and 25428?

We will first find the prime factorization of 25414 and 25428. After we will calculate the factors of 25414 and 25428 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 25428

Prime factors of 25428 are 2, 3, 13, 163. Prime factorization of 25428 in exponential form is:

25428 = 2² × 3¹ × 13¹ × 163¹

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 25428

List of positive integer factors of 25428 that divides 25414 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 163, 326, 489, 652, 978, 1956, 2119, 4238, 6357, 8476, 12714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25414 and 25428. The biggest common factor number is the GCF number.
So the greatest common factor 25414 and 25428 is 2.

Also check out the Least Common Multiple of 25414 and 25428