What is the Greatest Common Factor of 10 and 26?

Greatest common factor (GCF) of 10 and 26 is 2.

GCF(10,26) = 2

We will now calculate the prime factors of 10 and 26, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10 and 26.

How to find the GCF of 10 and 26?

We will first find the prime factorization of 10 and 26. After we will calculate the factors of 10 and 26 and find the biggest common factor number .

Step-1: Prime Factorization of 10

Prime factors of 10 are 2, 5. Prime factorization of 10 in exponential form is:

10 = 2¹ × 5¹

Step-2: Prime Factorization of 26

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

26 = 2¹ × 13¹

Step-3: Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1, 2, 5

Step-4: Factors of 26

List of positive integer factors of 26 that divides 10 without a remainder.

1, 2, 13

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10 and 26. The biggest common factor number is the GCF number.
So the greatest common factor 10 and 26 is 2.

Also check out the Least Common Multiple of 10 and 26