What is the Greatest Common Factor of 25784 and 25795?

Greatest common factor (GCF) of 25784 and 25795 is 11.

GCF(25784,25795) = 11

We will now calculate the prime factors of 25784 and 25795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25784 and 25795.

How to find the GCF of 25784 and 25795?

We will first find the prime factorization of 25784 and 25795. After we will calculate the factors of 25784 and 25795 and find the biggest common factor number .

Step-1: Prime Factorization of 25784

Prime factors of 25784 are 2, 11, 293. Prime factorization of 25784 in exponential form is:

25784 = 2³ × 11¹ × 293¹

Step-2: Prime Factorization of 25795

Prime factors of 25795 are 5, 7, 11, 67. Prime factorization of 25795 in exponential form is:

25795 = 5¹ × 7¹ × 11¹ × 67¹

Step-3: Factors of 25784

List of positive integer factors of 25784 that divides 25784 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 293, 586, 1172, 2344, 3223, 6446, 12892

Step-4: Factors of 25795

List of positive integer factors of 25795 that divides 25784 without a remainder.

1, 5, 7, 11, 35, 55, 67, 77, 335, 385, 469, 737, 2345, 3685, 5159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25784 and 25795. The biggest common factor number is the GCF number.
So the greatest common factor 25784 and 25795 is 11.

Also check out the Least Common Multiple of 25784 and 25795