What is the Greatest Common Factor of 2012 and 2032?

Greatest common factor (GCF) of 2012 and 2032 is 4.

GCF(2012,2032) = 4

We will now calculate the prime factors of 2012 and 2032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2012 and 2032.

How to find the GCF of 2012 and 2032?

We will first find the prime factorization of 2012 and 2032. After we will calculate the factors of 2012 and 2032 and find the biggest common factor number .

Step-1: Prime Factorization of 2012

Prime factors of 2012 are 2, 503. Prime factorization of 2012 in exponential form is:

2012 = 2² × 503¹

Step-2: Prime Factorization of 2032

Prime factors of 2032 are 2, 127. Prime factorization of 2032 in exponential form is:

2032 = 2⁴ × 127¹

Step-3: Factors of 2012

List of positive integer factors of 2012 that divides 2012 without a remainder.

1, 2, 4, 503, 1006

Step-4: Factors of 2032

List of positive integer factors of 2032 that divides 2012 without a remainder.

1, 2, 4, 8, 16, 127, 254, 508, 1016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2012 and 2032. The biggest common factor number is the GCF number.
So the greatest common factor 2012 and 2032 is 4.

Also check out the Least Common Multiple of 2012 and 2032