What is the Greatest Common Factor of 26450 and 26460?

Greatest common factor (GCF) of 26450 and 26460 is 10.

GCF(26450,26460) = 10

We will now calculate the prime factors of 26450 and 26460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26450 and 26460.

How to find the GCF of 26450 and 26460?

We will first find the prime factorization of 26450 and 26460. After we will calculate the factors of 26450 and 26460 and find the biggest common factor number .

Step-1: Prime Factorization of 26450

Prime factors of 26450 are 2, 5, 23. Prime factorization of 26450 in exponential form is:

26450 = 2¹ × 5² × 23²

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 26450

List of positive integer factors of 26450 that divides 26450 without a remainder.

1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 529, 575, 1058, 1150, 2645, 5290, 13225

Step-4: Factors of 26460

List of positive integer factors of 26460 that divides 26450 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 26450 and 26460. The biggest common factor number is the GCF number.
So the greatest common factor 26450 and 26460 is 10.

Also check out the Least Common Multiple of 26450 and 26460