What is the Greatest Common Factor of 25116 and 25129?

Greatest common factor (GCF) of 25116 and 25129 is 13.

GCF(25116,25129) = 13

We will now calculate the prime factors of 25116 and 25129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25116 and 25129.

How to find the GCF of 25116 and 25129?

We will first find the prime factorization of 25116 and 25129. After we will calculate the factors of 25116 and 25129 and find the biggest common factor number .

Step-1: Prime Factorization of 25116

Prime factors of 25116 are 2, 3, 7, 13, 23. Prime factorization of 25116 in exponential form is:

25116 = 2² × 3¹ × 7¹ × 13¹ × 23¹

Step-2: Prime Factorization of 25129

Prime factors of 25129 are 13, 1933. Prime factorization of 25129 in exponential form is:

25129 = 13¹ × 1933¹

Step-3: Factors of 25116

List of positive integer factors of 25116 that divides 25116 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 23, 26, 28, 39, 42, 46, 52, 69, 78, 84, 91, 92, 138, 156, 161, 182, 273, 276, 299, 322, 364, 483, 546, 598, 644, 897, 966, 1092, 1196, 1794, 1932, 2093, 3588, 4186, 6279, 8372, 12558

Step-4: Factors of 25129

List of positive integer factors of 25129 that divides 25116 without a remainder.

1, 13, 1933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25116 and 25129. The biggest common factor number is the GCF number.
So the greatest common factor 25116 and 25129 is 13.

Also check out the Least Common Multiple of 25116 and 25129