What is the Greatest Common Factor of 26465 and 26485?

Greatest common factor (GCF) of 26465 and 26485 is 5.

GCF(26465,26485) = 5

We will now calculate the prime factors of 26465 and 26485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26465 and 26485.

How to find the GCF of 26465 and 26485?

We will first find the prime factorization of 26465 and 26485. After we will calculate the factors of 26465 and 26485 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 26485

Prime factors of 26485 are 5, 5297. Prime factorization of 26485 in exponential form is:

26485 = 5¹ × 5297¹

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 26485

List of positive integer factors of 26485 that divides 26465 without a remainder.

1, 5, 5297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26465 and 26485. The biggest common factor number is the GCF number.
So the greatest common factor 26465 and 26485 is 5.

Also check out the Least Common Multiple of 26465 and 26485