What is the Greatest Common Factor of 2072 and 2077?

Greatest common factor (GCF) of 2072 and 2077 is 1.

GCF(2072,2077) = 1

We will now calculate the prime factors of 2072 and 2077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2072 and 2077.

How to find the GCF of 2072 and 2077?

We will first find the prime factorization of 2072 and 2077. After we will calculate the factors of 2072 and 2077 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 2077

Prime factors of 2077 are 31, 67. Prime factorization of 2077 in exponential form is:

2077 = 31¹ × 67¹

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 2077

List of positive integer factors of 2077 that divides 2072 without a remainder.

1, 31, 67

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2072 and 2077. The biggest common factor number is the GCF number.
So the greatest common factor 2072 and 2077 is 1.

Also check out the Least Common Multiple of 2072 and 2077