What is the Greatest Common Factor of 2072 and 2076?

Greatest common factor (GCF) of 2072 and 2076 is 4.

GCF(2072,2076) = 4

We will now calculate the prime factors of 2072 and 2076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2072 and 2076.

How to find the GCF of 2072 and 2076?

We will first find the prime factorization of 2072 and 2076. After we will calculate the factors of 2072 and 2076 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 2076

Prime factors of 2076 are 2, 3, 173. Prime factorization of 2076 in exponential form is:

2076 = 2² × 3¹ × 173¹

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 2076

List of positive integer factors of 2076 that divides 2072 without a remainder.

1, 2, 3, 4, 6, 12, 173, 346, 519, 692, 1038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2072 and 2076. The biggest common factor number is the GCF number.
So the greatest common factor 2072 and 2076 is 4.

Also check out the Least Common Multiple of 2072 and 2076