What is the Greatest Common Factor of 25116 and 25131?

Greatest common factor (GCF) of 25116 and 25131 is 3.

GCF(25116,25131) = 3

We will now calculate the prime factors of 25116 and 25131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25116 and 25131.

How to find the GCF of 25116 and 25131?

We will first find the prime factorization of 25116 and 25131. After we will calculate the factors of 25116 and 25131 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 25131

Prime factors of 25131 are 3, 8377. Prime factorization of 25131 in exponential form is:

25131 = 3¹ × 8377¹

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 25131

List of positive integer factors of 25131 that divides 25116 without a remainder.

1, 3, 8377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25116 and 25131. The biggest common factor number is the GCF number.
So the greatest common factor 25116 and 25131 is 3.

Also check out the Least Common Multiple of 25116 and 25131