What is the Greatest Common Factor of 52000 and 52018?

Greatest common factor (GCF) of 52000 and 52018 is 2.

GCF(52000,52018) = 2

We will now calculate the prime factors of 52000 and 52018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52000 and 52018.

How to find the GCF of 52000 and 52018?

We will first find the prime factorization of 52000 and 52018. After we will calculate the factors of 52000 and 52018 and find the biggest common factor number .

Step-1: Prime Factorization of 52000

Prime factors of 52000 are 2, 5, 13. Prime factorization of 52000 in exponential form is:

52000 = 2⁵ × 5³ × 13¹

Step-2: Prime Factorization of 52018

Prime factors of 52018 are 2, 31, 839. Prime factorization of 52018 in exponential form is:

52018 = 2¹ × 31¹ × 839¹

Step-3: Factors of 52000

List of positive integer factors of 52000 that divides 52000 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 32, 40, 50, 52, 65, 80, 100, 104, 125, 130, 160, 200, 208, 250, 260, 325, 400, 416, 500, 520, 650, 800, 1000, 1040, 1300, 1625, 2000, 2080, 2600, 3250, 4000, 5200, 6500, 10400, 13000, 26000

Step-4: Factors of 52018

List of positive integer factors of 52018 that divides 52000 without a remainder.

1, 2, 31, 62, 839, 1678, 26009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52000 and 52018. The biggest common factor number is the GCF number.
So the greatest common factor 52000 and 52018 is 2.

Also check out the Least Common Multiple of 52000 and 52018