What is the Greatest Common Factor of 25542 and 25562?

Greatest common factor (GCF) of 25542 and 25562 is 2.

GCF(25542,25562) = 2

We will now calculate the prime factors of 25542 and 25562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25542 and 25562.

How to find the GCF of 25542 and 25562?

We will first find the prime factorization of 25542 and 25562. After we will calculate the factors of 25542 and 25562 and find the biggest common factor number .

Step-1: Prime Factorization of 25542

Prime factors of 25542 are 2, 3, 11, 43. Prime factorization of 25542 in exponential form is:

25542 = 2¹ × 3³ × 11¹ × 43¹

Step-2: Prime Factorization of 25562

Prime factors of 25562 are 2, 12781. Prime factorization of 25562 in exponential form is:

25562 = 2¹ × 12781¹

Step-3: Factors of 25542

List of positive integer factors of 25542 that divides 25542 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 43, 54, 66, 86, 99, 129, 198, 258, 297, 387, 473, 594, 774, 946, 1161, 1419, 2322, 2838, 4257, 8514, 12771

Step-4: Factors of 25562

List of positive integer factors of 25562 that divides 25542 without a remainder.

1, 2, 12781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25542 and 25562. The biggest common factor number is the GCF number.
So the greatest common factor 25542 and 25562 is 2.

Also check out the Least Common Multiple of 25542 and 25562