What is the Greatest Common Factor of 25623 and 25629?

Greatest common factor (GCF) of 25623 and 25629 is 3.

GCF(25623,25629) = 3

We will now calculate the prime factors of 25623 and 25629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25623 and 25629.

How to find the GCF of 25623 and 25629?

We will first find the prime factorization of 25623 and 25629. After we will calculate the factors of 25623 and 25629 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25629

Prime factors of 25629 are 3, 8543. Prime factorization of 25629 in exponential form is:

25629 = 3¹ × 8543¹

Step-3: Factors of 25623

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

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

Step-4: Factors of 25629

List of positive integer factors of 25629 that divides 25623 without a remainder.

1, 3, 8543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25623 and 25629. The biggest common factor number is the GCF number.
So the greatest common factor 25623 and 25629 is 3.

Also check out the Least Common Multiple of 25623 and 25629