What is the Greatest Common Factor of 25788 and 25802?

Greatest common factor (GCF) of 25788 and 25802 is 14.

GCF(25788,25802) = 14

We will now calculate the prime factors of 25788 and 25802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25788 and 25802.

How to find the GCF of 25788 and 25802?

We will first find the prime factorization of 25788 and 25802. After we will calculate the factors of 25788 and 25802 and find the biggest common factor number .

Step-1: Prime Factorization of 25788

Prime factors of 25788 are 2, 3, 7, 307. Prime factorization of 25788 in exponential form is:

25788 = 2² × 3¹ × 7¹ × 307¹

Step-2: Prime Factorization of 25802

Prime factors of 25802 are 2, 7, 19, 97. Prime factorization of 25802 in exponential form is:

25802 = 2¹ × 7¹ × 19¹ × 97¹

Step-3: Factors of 25788

List of positive integer factors of 25788 that divides 25788 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 307, 614, 921, 1228, 1842, 2149, 3684, 4298, 6447, 8596, 12894

Step-4: Factors of 25802

List of positive integer factors of 25802 that divides 25788 without a remainder.

1, 2, 7, 14, 19, 38, 97, 133, 194, 266, 679, 1358, 1843, 3686, 12901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25788 and 25802. The biggest common factor number is the GCF number.
So the greatest common factor 25788 and 25802 is 14.

Also check out the Least Common Multiple of 25788 and 25802