What is the Greatest Common Factor of 26465 and 26470?

Greatest common factor (GCF) of 26465 and 26470 is 5.

GCF(26465,26470) = 5

We will now calculate the prime factors of 26465 and 26470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26465 and 26470.

How to find the GCF of 26465 and 26470?

We will first find the prime factorization of 26465 and 26470. After we will calculate the factors of 26465 and 26470 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26470

Prime factors of 26470 are 2, 5, 2647. Prime factorization of 26470 in exponential form is:

26470 = 2¹ × 5¹ × 2647¹

Step-3: Factors of 26465

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

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

Step-4: Factors of 26470

List of positive integer factors of 26470 that divides 26465 without a remainder.

1, 2, 5, 10, 2647, 5294, 13235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26465 and 26470. The biggest common factor number is the GCF number.
So the greatest common factor 26465 and 26470 is 5.

Also check out the Least Common Multiple of 26465 and 26470