What is the Greatest Common Factor of 26460 and 26465?

Greatest common factor (GCF) of 26460 and 26465 is 5.

GCF(26460,26465) = 5

We will now calculate the prime factors of 26460 and 26465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26460 and 26465.

How to find the GCF of 26460 and 26465?

We will first find the prime factorization of 26460 and 26465. After we will calculate the factors of 26460 and 26465 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 26465

Prime factors of 26465 are 5, 67, 79. Prime factorization of 26465 in exponential form is:

26465 = 5¹ × 67¹ × 79¹

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 26465

List of positive integer factors of 26465 that divides 26460 without a remainder.

1, 5, 67, 79, 335, 395, 5293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26460 and 26465. The biggest common factor number is the GCF number.
So the greatest common factor 26460 and 26465 is 5.

Also check out the Least Common Multiple of 26460 and 26465