What is the Greatest Common Factor of 2063 and 2072?

Greatest common factor (GCF) of 2063 and 2072 is 1.

GCF(2063,2072) = 1

We will now calculate the prime factors of 2063 and 2072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2063 and 2072.

How to find the GCF of 2063 and 2072?

We will first find the prime factorization of 2063 and 2072. After we will calculate the factors of 2063 and 2072 and find the biggest common factor number .

Step-1: Prime Factorization of 2063

Prime factors of 2063 are 2063. Prime factorization of 2063 in exponential form is:

2063 = 2063¹

Step-2: 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-3: Factors of 2063

List of positive integer factors of 2063 that divides 2063 without a remainder.

Step-4: Factors of 2072

List of positive integer factors of 2072 that divides 2063 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2063 and 2072. The biggest common factor number is the GCF number.
So the greatest common factor 2063 and 2072 is 1.

Also check out the Least Common Multiple of 2063 and 2072