What is the Greatest Common Factor of 2072 and 2086?

Greatest common factor (GCF) of 2072 and 2086 is 14.

GCF(2072,2086) = 14

We will now calculate the prime factors of 2072 and 2086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2072 and 2086.

How to find the GCF of 2072 and 2086?

We will first find the prime factorization of 2072 and 2086. After we will calculate the factors of 2072 and 2086 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 2086

Prime factors of 2086 are 2, 7, 149. Prime factorization of 2086 in exponential form is:

2086 = 2¹ × 7¹ × 149¹

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 2086

List of positive integer factors of 2086 that divides 2072 without a remainder.

1, 2, 7, 14, 149, 298, 1043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2072 and 2086. The biggest common factor number is the GCF number.
So the greatest common factor 2072 and 2086 is 14.

Also check out the Least Common Multiple of 2072 and 2086