What is the Greatest Common Factor of 52000 and 52007?

Greatest common factor (GCF) of 52000 and 52007 is 1.

GCF(52000,52007) = 1

We will now calculate the prime factors of 52000 and 52007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52000 and 52007.

How to find the GCF of 52000 and 52007?

We will first find the prime factorization of 52000 and 52007. After we will calculate the factors of 52000 and 52007 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 52007

Prime factors of 52007 are 131, 397. Prime factorization of 52007 in exponential form is:

52007 = 131¹ × 397¹

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 52007

List of positive integer factors of 52007 that divides 52000 without a remainder.

1, 131, 397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52000 and 52007. The biggest common factor number is the GCF number.
So the greatest common factor 52000 and 52007 is 1.

Also check out the Least Common Multiple of 52000 and 52007