What is the Greatest Common Factor of 2052 and 2071?

Greatest common factor (GCF) of 2052 and 2071 is 19.

GCF(2052,2071) = 19

We will now calculate the prime factors of 2052 and 2071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2052 and 2071.

How to find the GCF of 2052 and 2071?

We will first find the prime factorization of 2052 and 2071. After we will calculate the factors of 2052 and 2071 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 2071

Prime factors of 2071 are 19, 109. Prime factorization of 2071 in exponential form is:

2071 = 19¹ × 109¹

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 2071

List of positive integer factors of 2071 that divides 2052 without a remainder.

1, 19, 109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2052 and 2071. The biggest common factor number is the GCF number.
So the greatest common factor 2052 and 2071 is 19.

Also check out the Least Common Multiple of 2052 and 2071