What is the Greatest Common Factor of 26442 and 26460?

Greatest common factor (GCF) of 26442 and 26460 is 18.

GCF(26442,26460) = 18

We will now calculate the prime factors of 26442 and 26460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26442 and 26460.

How to find the GCF of 26442 and 26460?

We will first find the prime factorization of 26442 and 26460. After we will calculate the factors of 26442 and 26460 and find the biggest common factor number .

Step-1: Prime Factorization of 26442

Prime factors of 26442 are 2, 3, 13, 113. Prime factorization of 26442 in exponential form is:

26442 = 2¹ × 3² × 13¹ × 113¹

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 26442

List of positive integer factors of 26442 that divides 26442 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 113, 117, 226, 234, 339, 678, 1017, 1469, 2034, 2938, 4407, 8814, 13221

Step-4: Factors of 26460

List of positive integer factors of 26460 that divides 26442 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 26442 and 26460. The biggest common factor number is the GCF number.
So the greatest common factor 26442 and 26460 is 18.

Also check out the Least Common Multiple of 26442 and 26460