What is the Greatest Common Factor of 25704 and 25717?

Greatest common factor (GCF) of 25704 and 25717 is 1.

GCF(25704,25717) = 1

We will now calculate the prime factors of 25704 and 25717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25704 and 25717.

How to find the GCF of 25704 and 25717?

We will first find the prime factorization of 25704 and 25717. After we will calculate the factors of 25704 and 25717 and find the biggest common factor number .

Step-1: Prime Factorization of 25704

Prime factors of 25704 are 2, 3, 7, 17. Prime factorization of 25704 in exponential form is:

25704 = 2³ × 3³ × 7¹ × 17¹

Step-2: Prime Factorization of 25717

Prime factors of 25717 are 25717. Prime factorization of 25717 in exponential form is:

25717 = 25717¹

Step-3: Factors of 25704

List of positive integer factors of 25704 that divides 25704 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 17, 18, 21, 24, 27, 28, 34, 36, 42, 51, 54, 56, 63, 68, 72, 84, 102, 108, 119, 126, 136, 153, 168, 189, 204, 216, 238, 252, 306, 357, 378, 408, 459, 476, 504, 612, 714, 756, 918, 952, 1071, 1224, 1428, 1512, 1836, 2142, 2856, 3213, 3672, 4284, 6426, 8568, 12852

Step-4: Factors of 25717

List of positive integer factors of 25717 that divides 25704 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25704 and 25717. The biggest common factor number is the GCF number.
So the greatest common factor 25704 and 25717 is 1.

Also check out the Least Common Multiple of 25704 and 25717