What is the Greatest Common Factor of 1006 and 1012?

Greatest common factor (GCF) of 1006 and 1012 is 2.

GCF(1006,1012) = 2

We will now calculate the prime factors of 1006 and 1012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1006 and 1012.

How to find the GCF of 1006 and 1012?

We will first find the prime factorization of 1006 and 1012. After we will calculate the factors of 1006 and 1012 and find the biggest common factor number .

Step-1: Prime Factorization of 1006

Prime factors of 1006 are 2, 503. Prime factorization of 1006 in exponential form is:

1006 = 2¹ × 503¹

Step-2: Prime Factorization of 1012

Prime factors of 1012 are 2, 11, 23. Prime factorization of 1012 in exponential form is:

1012 = 2² × 11¹ × 23¹

Step-3: Factors of 1006

List of positive integer factors of 1006 that divides 1006 without a remainder.

1, 2, 503

Step-4: Factors of 1012

List of positive integer factors of 1012 that divides 1006 without a remainder.

1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1006 and 1012. The biggest common factor number is the GCF number.
So the greatest common factor 1006 and 1012 is 2.

Also check out the Least Common Multiple of 1006 and 1012