What is the Greatest Common Factor of 25104 and 25116?

Greatest common factor (GCF) of 25104 and 25116 is 12.

GCF(25104,25116) = 12

We will now calculate the prime factors of 25104 and 25116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25104 and 25116.

How to find the GCF of 25104 and 25116?

We will first find the prime factorization of 25104 and 25116. After we will calculate the factors of 25104 and 25116 and find the biggest common factor number .

Step-1: Prime Factorization of 25104

Prime factors of 25104 are 2, 3, 523. Prime factorization of 25104 in exponential form is:

25104 = 2⁴ × 3¹ × 523¹

Step-2: 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-3: Factors of 25104

List of positive integer factors of 25104 that divides 25104 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 523, 1046, 1569, 2092, 3138, 4184, 6276, 8368, 12552

Step-4: Factors of 25116

List of positive integer factors of 25116 that divides 25104 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25104 and 25116. The biggest common factor number is the GCF number.
So the greatest common factor 25104 and 25116 is 12.

Also check out the Least Common Multiple of 25104 and 25116