What is the Greatest Common Factor of 26454 and 26460?

Greatest common factor (GCF) of 26454 and 26460 is 6.

GCF(26454,26460) = 6

We will now calculate the prime factors of 26454 and 26460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26454 and 26460.

How to find the GCF of 26454 and 26460?

We will first find the prime factorization of 26454 and 26460. After we will calculate the factors of 26454 and 26460 and find the biggest common factor number .

Step-1: Prime Factorization of 26454

Prime factors of 26454 are 2, 3, 4409. Prime factorization of 26454 in exponential form is:

26454 = 2¹ × 3¹ × 4409¹

Step-2: 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-3: Factors of 26454

List of positive integer factors of 26454 that divides 26454 without a remainder.

1, 2, 3, 6, 4409, 8818, 13227

Step-4: Factors of 26460

List of positive integer factors of 26460 that divides 26454 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26454 and 26460. The biggest common factor number is the GCF number.
So the greatest common factor 26454 and 26460 is 6.

Also check out the Least Common Multiple of 26454 and 26460