What is the Greatest Common Factor of 5250 and 5259?

Greatest common factor (GCF) of 5250 and 5259 is 3.

GCF(5250,5259) = 3

We will now calculate the prime factors of 5250 and 5259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5250 and 5259.

How to find the GCF of 5250 and 5259?

We will first find the prime factorization of 5250 and 5259. After we will calculate the factors of 5250 and 5259 and find the biggest common factor number .

Step-1: Prime Factorization of 5250

Prime factors of 5250 are 2, 3, 5, 7. Prime factorization of 5250 in exponential form is:

5250 = 2¹ × 3¹ × 5³ × 7¹

Step-2: Prime Factorization of 5259

Prime factors of 5259 are 3, 1753. Prime factorization of 5259 in exponential form is:

5259 = 3¹ × 1753¹

Step-3: Factors of 5250

List of positive integer factors of 5250 that divides 5250 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 125, 150, 175, 210, 250, 350, 375, 525, 750, 875, 1050, 1750, 2625

Step-4: Factors of 5259

List of positive integer factors of 5259 that divides 5250 without a remainder.

1, 3, 1753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5250 and 5259. The biggest common factor number is the GCF number.
So the greatest common factor 5250 and 5259 is 3.

Also check out the Least Common Multiple of 5250 and 5259