What is the Greatest Common Factor of 25103 and 25116?

Greatest common factor (GCF) of 25103 and 25116 is 13.

GCF(25103,25116) = 13

We will now calculate the prime factors of 25103 and 25116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25103 and 25116.

How to find the GCF of 25103 and 25116?

We will first find the prime factorization of 25103 and 25116. After we will calculate the factors of 25103 and 25116 and find the biggest common factor number .

Step-1: Prime Factorization of 25103

Prime factors of 25103 are 13, 1931. Prime factorization of 25103 in exponential form is:

25103 = 13¹ × 1931¹

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 25103

List of positive integer factors of 25103 that divides 25103 without a remainder.

1, 13, 1931

Step-4: Factors of 25116

List of positive integer factors of 25116 that divides 25103 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 25103 and 25116. The biggest common factor number is the GCF number.
So the greatest common factor 25103 and 25116 is 13.

Also check out the Least Common Multiple of 25103 and 25116