What is the Greatest Common Factor of 26464 and 26469?

Greatest common factor (GCF) of 26464 and 26469 is 1.

GCF(26464,26469) = 1

We will now calculate the prime factors of 26464 and 26469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26464 and 26469.

How to find the GCF of 26464 and 26469?

We will first find the prime factorization of 26464 and 26469. After we will calculate the factors of 26464 and 26469 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 26469

Prime factors of 26469 are 3, 17, 173. Prime factorization of 26469 in exponential form is:

26469 = 3² × 17¹ × 173¹

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 26469

List of positive integer factors of 26469 that divides 26464 without a remainder.

1, 3, 9, 17, 51, 153, 173, 519, 1557, 2941, 8823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26464 and 26469. The biggest common factor number is the GCF number.
So the greatest common factor 26464 and 26469 is 1.

Also check out the Least Common Multiple of 26464 and 26469