What is the Greatest Common Factor of 5250 and 5257?

Greatest common factor (GCF) of 5250 and 5257 is 7.

GCF(5250,5257) = 7

We will now calculate the prime factors of 5250 and 5257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5250 and 5257.

How to find the GCF of 5250 and 5257?

We will first find the prime factorization of 5250 and 5257. After we will calculate the factors of 5250 and 5257 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 5257

Prime factors of 5257 are 7, 751. Prime factorization of 5257 in exponential form is:

5257 = 7¹ × 751¹

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 5257

List of positive integer factors of 5257 that divides 5250 without a remainder.

1, 7, 751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5250 and 5257. The biggest common factor number is the GCF number.
So the greatest common factor 5250 and 5257 is 7.

Also check out the Least Common Multiple of 5250 and 5257