What is the Greatest Common Factor of 26460 and 26474?

Greatest common factor (GCF) of 26460 and 26474 is 14.

GCF(26460,26474) = 14

We will now calculate the prime factors of 26460 and 26474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26460 and 26474.

How to find the GCF of 26460 and 26474?

We will first find the prime factorization of 26460 and 26474. After we will calculate the factors of 26460 and 26474 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 26474

Prime factors of 26474 are 2, 7, 31, 61. Prime factorization of 26474 in exponential form is:

26474 = 2¹ × 7¹ × 31¹ × 61¹

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 26474

List of positive integer factors of 26474 that divides 26460 without a remainder.

1, 2, 7, 14, 31, 61, 62, 122, 217, 427, 434, 854, 1891, 3782, 13237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26460 and 26474. The biggest common factor number is the GCF number.
So the greatest common factor 26460 and 26474 is 14.

Also check out the Least Common Multiple of 26460 and 26474