What is the Greatest Common Factor of 25647 and 25662?

Greatest common factor (GCF) of 25647 and 25662 is 3.

GCF(25647,25662) = 3

We will now calculate the prime factors of 25647 and 25662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25647 and 25662.

How to find the GCF of 25647 and 25662?

We will first find the prime factorization of 25647 and 25662. After we will calculate the factors of 25647 and 25662 and find the biggest common factor number .

Step-1: Prime Factorization of 25647

Prime factors of 25647 are 3, 83, 103. Prime factorization of 25647 in exponential form is:

25647 = 3¹ × 83¹ × 103¹

Step-2: Prime Factorization of 25662

Prime factors of 25662 are 2, 3, 7, 13, 47. Prime factorization of 25662 in exponential form is:

25662 = 2¹ × 3¹ × 7¹ × 13¹ × 47¹

Step-3: Factors of 25647

List of positive integer factors of 25647 that divides 25647 without a remainder.

1, 3, 83, 103, 249, 309, 8549

Step-4: Factors of 25662

List of positive integer factors of 25662 that divides 25647 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 47, 78, 91, 94, 141, 182, 273, 282, 329, 546, 611, 658, 987, 1222, 1833, 1974, 3666, 4277, 8554, 12831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25647 and 25662. The biggest common factor number is the GCF number.
So the greatest common factor 25647 and 25662 is 3.

Also check out the Least Common Multiple of 25647 and 25662