What is the Greatest Common Factor of 26474 and 26488?

Greatest common factor (GCF) of 26474 and 26488 is 14.

GCF(26474,26488) = 14

We will now calculate the prime factors of 26474 and 26488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26474 and 26488.

How to find the GCF of 26474 and 26488?

We will first find the prime factorization of 26474 and 26488. After we will calculate the factors of 26474 and 26488 and find the biggest common factor number .

Step-1: Prime Factorization of 26474

Prime factors of 26474 are 2, 7, 31, 61. Prime factorization of 26474 in exponential form is:

26474 = 2¹ × 7¹ × 31¹ × 61¹

Step-2: Prime Factorization of 26488

Prime factors of 26488 are 2, 7, 11, 43. Prime factorization of 26488 in exponential form is:

26488 = 2³ × 7¹ × 11¹ × 43¹

Step-3: Factors of 26474

List of positive integer factors of 26474 that divides 26474 without a remainder.

1, 2, 7, 14, 31, 61, 62, 122, 217, 427, 434, 854, 1891, 3782, 13237

Step-4: Factors of 26488

List of positive integer factors of 26488 that divides 26474 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 43, 44, 56, 77, 86, 88, 154, 172, 301, 308, 344, 473, 602, 616, 946, 1204, 1892, 2408, 3311, 3784, 6622, 13244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26474 and 26488. The biggest common factor number is the GCF number.
So the greatest common factor 26474 and 26488 is 14.

Also check out the Least Common Multiple of 26474 and 26488