What is the Greatest Common Factor of 2072 and 2090?

Greatest common factor (GCF) of 2072 and 2090 is 2.

GCF(2072,2090) = 2

We will now calculate the prime factors of 2072 and 2090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2072 and 2090.

How to find the GCF of 2072 and 2090?

We will first find the prime factorization of 2072 and 2090. After we will calculate the factors of 2072 and 2090 and find the biggest common factor number .

Step-1: Prime Factorization of 2072

Prime factors of 2072 are 2, 7, 37. Prime factorization of 2072 in exponential form is:

2072 = 2³ × 7¹ × 37¹

Step-2: Prime Factorization of 2090

Prime factors of 2090 are 2, 5, 11, 19. Prime factorization of 2090 in exponential form is:

2090 = 2¹ × 5¹ × 11¹ × 19¹

Step-3: Factors of 2072

List of positive integer factors of 2072 that divides 2072 without a remainder.

1, 2, 4, 7, 8, 14, 28, 37, 56, 74, 148, 259, 296, 518, 1036

Step-4: Factors of 2090

List of positive integer factors of 2090 that divides 2072 without a remainder.

1, 2, 5, 10, 11, 19, 22, 38, 55, 95, 110, 190, 209, 418, 1045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2072 and 2090. The biggest common factor number is the GCF number.
So the greatest common factor 2072 and 2090 is 2.

Also check out the Least Common Multiple of 2072 and 2090