What is the Greatest Common Factor of 52059 and 52074?

Greatest common factor (GCF) of 52059 and 52074 is 3.

GCF(52059,52074) = 3

We will now calculate the prime factors of 52059 and 52074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52059 and 52074.

How to find the GCF of 52059 and 52074?

We will first find the prime factorization of 52059 and 52074. After we will calculate the factors of 52059 and 52074 and find the biggest common factor number .

Step-1: Prime Factorization of 52059

Prime factors of 52059 are 3, 7, 37, 67. Prime factorization of 52059 in exponential form is:

52059 = 3¹ × 7¹ × 37¹ × 67¹

Step-2: Prime Factorization of 52074

Prime factors of 52074 are 2, 3, 11, 263. Prime factorization of 52074 in exponential form is:

52074 = 2¹ × 3² × 11¹ × 263¹

Step-3: Factors of 52059

List of positive integer factors of 52059 that divides 52059 without a remainder.

1, 3, 7, 21, 37, 67, 111, 201, 259, 469, 777, 1407, 2479, 7437, 17353

Step-4: Factors of 52074

List of positive integer factors of 52074 that divides 52059 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 263, 526, 789, 1578, 2367, 2893, 4734, 5786, 8679, 17358, 26037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52059 and 52074. The biggest common factor number is the GCF number.
So the greatest common factor 52059 and 52074 is 3.

Also check out the Least Common Multiple of 52059 and 52074