What is the Greatest Common Factor of 52000 and 52019?

Greatest common factor (GCF) of 52000 and 52019 is 1.

GCF(52000,52019) = 1

We will now calculate the prime factors of 52000 and 52019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52000 and 52019.

How to find the GCF of 52000 and 52019?

We will first find the prime factorization of 52000 and 52019. After we will calculate the factors of 52000 and 52019 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 52019

Prime factors of 52019 are 11, 4729. Prime factorization of 52019 in exponential form is:

52019 = 11¹ × 4729¹

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 52019

List of positive integer factors of 52019 that divides 52000 without a remainder.

1, 11, 4729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52000 and 52019. The biggest common factor number is the GCF number.
So the greatest common factor 52000 and 52019 is 1.

Also check out the Least Common Multiple of 52000 and 52019