What is the Greatest Common Factor of 26460 and 26471?

Greatest common factor (GCF) of 26460 and 26471 is 1.

GCF(26460,26471) = 1

We will now calculate the prime factors of 26460 and 26471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26460 and 26471.

How to find the GCF of 26460 and 26471?

We will first find the prime factorization of 26460 and 26471. After we will calculate the factors of 26460 and 26471 and find the biggest common factor number .

Step-1: Prime Factorization of 26460

Prime factors of 26460 are 2, 3, 5, 7. Prime factorization of 26460 in exponential form is:

26460 = 2² × 3³ × 5¹ × 7²

Step-2: Prime Factorization of 26471

Prime factors of 26471 are 103, 257. Prime factorization of 26471 in exponential form is:

26471 = 103¹ × 257¹

Step-3: Factors of 26460

List of positive integer factors of 26460 that divides 26460 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 49, 54, 60, 63, 70, 84, 90, 98, 105, 108, 126, 135, 140, 147, 180, 189, 196, 210, 245, 252, 270, 294, 315, 378, 420, 441, 490, 540, 588, 630, 735, 756, 882, 945, 980, 1260, 1323, 1470, 1764, 1890, 2205, 2646, 2940, 3780, 4410, 5292, 6615, 8820, 13230

Step-4: Factors of 26471

List of positive integer factors of 26471 that divides 26460 without a remainder.

1, 103, 257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26460 and 26471. The biggest common factor number is the GCF number.
So the greatest common factor 26460 and 26471 is 1.

Also check out the Least Common Multiple of 26460 and 26471