What is the Greatest Common Factor of 25102 and 25116?

Greatest common factor (GCF) of 25102 and 25116 is 14.

GCF(25102,25116) = 14

We will now calculate the prime factors of 25102 and 25116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25102 and 25116.

How to find the GCF of 25102 and 25116?

We will first find the prime factorization of 25102 and 25116. After we will calculate the factors of 25102 and 25116 and find the biggest common factor number .

Step-1: Prime Factorization of 25102

Prime factors of 25102 are 2, 7, 11, 163. Prime factorization of 25102 in exponential form is:

25102 = 2¹ × 7¹ × 11¹ × 163¹

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 25102

List of positive integer factors of 25102 that divides 25102 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 163, 326, 1141, 1793, 2282, 3586, 12551

Step-4: Factors of 25116

List of positive integer factors of 25116 that divides 25102 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 25102 and 25116. The biggest common factor number is the GCF number.
So the greatest common factor 25102 and 25116 is 14.

Also check out the Least Common Multiple of 25102 and 25116