What is the Greatest Common Factor of 25096 and 25116?

Greatest common factor (GCF) of 25096 and 25116 is 4.

GCF(25096,25116) = 4

We will now calculate the prime factors of 25096 and 25116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25096 and 25116.

How to find the GCF of 25096 and 25116?

We will first find the prime factorization of 25096 and 25116. After we will calculate the factors of 25096 and 25116 and find the biggest common factor number .

Step-1: Prime Factorization of 25096

Prime factors of 25096 are 2, 3137. Prime factorization of 25096 in exponential form is:

25096 = 2³ × 3137¹

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 25096

List of positive integer factors of 25096 that divides 25096 without a remainder.

1, 2, 4, 8, 3137, 6274, 12548

Step-4: Factors of 25116

List of positive integer factors of 25116 that divides 25096 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 25096 and 25116. The biggest common factor number is the GCF number.
So the greatest common factor 25096 and 25116 is 4.

Also check out the Least Common Multiple of 25096 and 25116