What is the Greatest Common Factor of 26464 and 26474?

Greatest common factor (GCF) of 26464 and 26474 is 2.

GCF(26464,26474) = 2

We will now calculate the prime factors of 26464 and 26474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26464 and 26474.

How to find the GCF of 26464 and 26474?

We will first find the prime factorization of 26464 and 26474. After we will calculate the factors of 26464 and 26474 and find the biggest common factor number .

Step-1: Prime Factorization of 26464

Prime factors of 26464 are 2, 827. Prime factorization of 26464 in exponential form is:

26464 = 2⁵ × 827¹

Step-2: 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-3: Factors of 26464

List of positive integer factors of 26464 that divides 26464 without a remainder.

1, 2, 4, 8, 16, 32, 827, 1654, 3308, 6616, 13232

Step-4: Factors of 26474

List of positive integer factors of 26474 that divides 26464 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26464 and 26474. The biggest common factor number is the GCF number.
So the greatest common factor 26464 and 26474 is 2.

Also check out the Least Common Multiple of 26464 and 26474