What is the Greatest Common Factor of 25608 and 25623?

Greatest common factor (GCF) of 25608 and 25623 is 3.

GCF(25608,25623) = 3

We will now calculate the prime factors of 25608 and 25623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25608 and 25623.

How to find the GCF of 25608 and 25623?

We will first find the prime factorization of 25608 and 25623. After we will calculate the factors of 25608 and 25623 and find the biggest common factor number .

Step-1: Prime Factorization of 25608

Prime factors of 25608 are 2, 3, 11, 97. Prime factorization of 25608 in exponential form is:

25608 = 2³ × 3¹ × 11¹ × 97¹

Step-2: Prime Factorization of 25623

Prime factors of 25623 are 3, 13, 73. Prime factorization of 25623 in exponential form is:

25623 = 3³ × 13¹ × 73¹

Step-3: Factors of 25608

List of positive integer factors of 25608 that divides 25608 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 97, 132, 194, 264, 291, 388, 582, 776, 1067, 1164, 2134, 2328, 3201, 4268, 6402, 8536, 12804

Step-4: Factors of 25623

List of positive integer factors of 25623 that divides 25608 without a remainder.

1, 3, 9, 13, 27, 39, 73, 117, 219, 351, 657, 949, 1971, 2847, 8541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25608 and 25623. The biggest common factor number is the GCF number.
So the greatest common factor 25608 and 25623 is 3.

Also check out the Least Common Multiple of 25608 and 25623