What is the Greatest Common Factor of 25764 and 25782?

Greatest common factor (GCF) of 25764 and 25782 is 6.

GCF(25764,25782) = 6

We will now calculate the prime factors of 25764 and 25782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25764 and 25782.

How to find the GCF of 25764 and 25782?

We will first find the prime factorization of 25764 and 25782. After we will calculate the factors of 25764 and 25782 and find the biggest common factor number .

Step-1: Prime Factorization of 25764

Prime factors of 25764 are 2, 3, 19, 113. Prime factorization of 25764 in exponential form is:

25764 = 2² × 3¹ × 19¹ × 113¹

Step-2: Prime Factorization of 25782

Prime factors of 25782 are 2, 3, 4297. Prime factorization of 25782 in exponential form is:

25782 = 2¹ × 3¹ × 4297¹

Step-3: Factors of 25764

List of positive integer factors of 25764 that divides 25764 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 113, 114, 226, 228, 339, 452, 678, 1356, 2147, 4294, 6441, 8588, 12882

Step-4: Factors of 25782

List of positive integer factors of 25782 that divides 25764 without a remainder.

1, 2, 3, 6, 4297, 8594, 12891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25764 and 25782. The biggest common factor number is the GCF number.
So the greatest common factor 25764 and 25782 is 6.

Also check out the Least Common Multiple of 25764 and 25782