What is the Greatest Common Factor of 5 and 10?

Greatest common factor (GCF) of 5 and 10 is 5.

GCF(5,10) = 5

We will now calculate the prime factors of 5 and 10, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5 and 10.

How to find the GCF of 5 and 10?

We will first find the prime factorization of 5 and 10. After we will calculate the factors of 5 and 10 and find the biggest common factor number .

Step-1: Prime Factorization of 5

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

5 = 5¹

Step-2: Prime Factorization of 10

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

10 = 2¹ × 5¹

Step-3: Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

Step-4: Factors of 10

List of positive integer factors of 10 that divides 5 without a remainder.

1, 2, 5

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5 and 10. The biggest common factor number is the GCF number.
So the greatest common factor 5 and 10 is 5.

Also check out the Least Common Multiple of 5 and 10