What is the Greatest Common Factor of 25111 and 25116?

Greatest common factor (GCF) of 25111 and 25116 is 1.

GCF(25111,25116) = 1

We will now calculate the prime factors of 25111 and 25116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25111 and 25116.

How to find the GCF of 25111 and 25116?

We will first find the prime factorization of 25111 and 25116. After we will calculate the factors of 25111 and 25116 and find the biggest common factor number .

Step-1: Prime Factorization of 25111

Prime factors of 25111 are 25111. Prime factorization of 25111 in exponential form is:

25111 = 25111¹

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 25111

List of positive integer factors of 25111 that divides 25111 without a remainder.

Step-4: Factors of 25116

List of positive integer factors of 25116 that divides 25111 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 25111 and 25116. The biggest common factor number is the GCF number.
So the greatest common factor 25111 and 25116 is 1.

Also check out the Least Common Multiple of 25111 and 25116