What is the Greatest Common Factor of 10 and 612?

Greatest common factor (GCF) of 10 and 612 is 2.

GCF(10,612) = 2

We will now calculate the prime factors of 10 and 612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10 and 612.

How to find the GCF of 10 and 612?

We will first find the prime factorization of 10 and 612. After we will calculate the factors of 10 and 612 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 612

Prime factors of 612 are 2, 3, 17. Prime factorization of 612 in exponential form is:

612 = 2² × 3² × 17¹

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 612

List of positive integer factors of 612 that divides 10 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10 and 612. The biggest common factor number is the GCF number.
So the greatest common factor 10 and 612 is 2.

Also check out the Least Common Multiple of 10 and 612