What is the Greatest Common Factor of 26 and 464?

Greatest common factor (GCF) of 26 and 464 is 2.

GCF(26,464) = 2

We will now calculate the prime factors of 26 and 464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26 and 464.

How to find the GCF of 26 and 464?

We will first find the prime factorization of 26 and 464. After we will calculate the factors of 26 and 464 and find the biggest common factor number .

Step-1: Prime Factorization of 26

Prime factors of 26 are 2, 13. Prime factorization of 26 in exponential form is:

26 = 2¹ × 13¹

Step-2: Prime Factorization of 464

Prime factors of 464 are 2, 29. Prime factorization of 464 in exponential form is:

464 = 2⁴ × 29¹

Step-3: Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1, 2, 13

Step-4: Factors of 464

List of positive integer factors of 464 that divides 26 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26 and 464. The biggest common factor number is the GCF number.
So the greatest common factor 26 and 464 is 2.

Also check out the Least Common Multiple of 26 and 464