What is the Greatest Common Factor of 25938 and 25956?

Greatest common factor (GCF) of 25938 and 25956 is 18.

GCF(25938,25956) = 18

We will now calculate the prime factors of 25938 and 25956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25938 and 25956.

How to find the GCF of 25938 and 25956?

We will first find the prime factorization of 25938 and 25956. After we will calculate the factors of 25938 and 25956 and find the biggest common factor number .

Step-1: Prime Factorization of 25938

Prime factors of 25938 are 2, 3, 11, 131. Prime factorization of 25938 in exponential form is:

25938 = 2¹ × 3² × 11¹ × 131¹

Step-2: Prime Factorization of 25956

Prime factors of 25956 are 2, 3, 7, 103. Prime factorization of 25956 in exponential form is:

25956 = 2² × 3² × 7¹ × 103¹

Step-3: Factors of 25938

List of positive integer factors of 25938 that divides 25938 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 131, 198, 262, 393, 786, 1179, 1441, 2358, 2882, 4323, 8646, 12969

Step-4: Factors of 25956

List of positive integer factors of 25956 that divides 25938 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 103, 126, 206, 252, 309, 412, 618, 721, 927, 1236, 1442, 1854, 2163, 2884, 3708, 4326, 6489, 8652, 12978

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25938 and 25956. The biggest common factor number is the GCF number.
So the greatest common factor 25938 and 25956 is 18.

Also check out the Least Common Multiple of 25938 and 25956