What is the Greatest Common Factor of 2052 and 2072?

Greatest common factor (GCF) of 2052 and 2072 is 4.

GCF(2052,2072) = 4

We will now calculate the prime factors of 2052 and 2072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2052 and 2072.

How to find the GCF of 2052 and 2072?

We will first find the prime factorization of 2052 and 2072. After we will calculate the factors of 2052 and 2072 and find the biggest common factor number .

Step-1: Prime Factorization of 2052

Prime factors of 2052 are 2, 3, 19. Prime factorization of 2052 in exponential form is:

2052 = 2² × 3³ × 19¹

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 2052

List of positive integer factors of 2052 that divides 2052 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 108, 114, 171, 228, 342, 513, 684, 1026

Step-4: Factors of 2072

List of positive integer factors of 2072 that divides 2052 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 2052 and 2072. The biggest common factor number is the GCF number.
So the greatest common factor 2052 and 2072 is 4.

Also check out the Least Common Multiple of 2052 and 2072