What is the Greatest Common Factor of 2046 and 2066?

Greatest common factor (GCF) of 2046 and 2066 is 2.

GCF(2046,2066) = 2

We will now calculate the prime factors of 2046 and 2066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2046 and 2066.

How to find the GCF of 2046 and 2066?

We will first find the prime factorization of 2046 and 2066. After we will calculate the factors of 2046 and 2066 and find the biggest common factor number .

Step-1: Prime Factorization of 2046

Prime factors of 2046 are 2, 3, 11, 31. Prime factorization of 2046 in exponential form is:

2046 = 2¹ × 3¹ × 11¹ × 31¹

Step-2: Prime Factorization of 2066

Prime factors of 2066 are 2, 1033. Prime factorization of 2066 in exponential form is:

2066 = 2¹ × 1033¹

Step-3: Factors of 2046

List of positive integer factors of 2046 that divides 2046 without a remainder.

1, 2, 3, 6, 11, 22, 31, 33, 62, 66, 93, 186, 341, 682, 1023

Step-4: Factors of 2066

List of positive integer factors of 2066 that divides 2046 without a remainder.

1, 2, 1033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2046 and 2066. The biggest common factor number is the GCF number.
So the greatest common factor 2046 and 2066 is 2.

Also check out the Least Common Multiple of 2046 and 2066