What is the Greatest Common Factor of 26460 and 26480?

Greatest common factor (GCF) of 26460 and 26480 is 20.

GCF(26460,26480) = 20

We will now calculate the prime factors of 26460 and 26480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26460 and 26480.

How to find the GCF of 26460 and 26480?

We will first find the prime factorization of 26460 and 26480. After we will calculate the factors of 26460 and 26480 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 26480

Prime factors of 26480 are 2, 5, 331. Prime factorization of 26480 in exponential form is:

26480 = 2⁴ × 5¹ × 331¹

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 26480

List of positive integer factors of 26480 that divides 26460 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 331, 662, 1324, 1655, 2648, 3310, 5296, 6620, 13240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26460 and 26480. The biggest common factor number is the GCF number.
So the greatest common factor 26460 and 26480 is 20.

Also check out the Least Common Multiple of 26460 and 26480