What is the Greatest Common Factor of 35250 and 35260?

Greatest common factor (GCF) of 35250 and 35260 is 10.

GCF(35250,35260) = 10

We will now calculate the prime factors of 35250 and 35260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35250 and 35260.

How to find the GCF of 35250 and 35260?

We will first find the prime factorization of 35250 and 35260. After we will calculate the factors of 35250 and 35260 and find the biggest common factor number .

Step-1: Prime Factorization of 35250

Prime factors of 35250 are 2, 3, 5, 47. Prime factorization of 35250 in exponential form is:

35250 = 2¹ × 3¹ × 5³ × 47¹

Step-2: Prime Factorization of 35260

Prime factors of 35260 are 2, 5, 41, 43. Prime factorization of 35260 in exponential form is:

35260 = 2² × 5¹ × 41¹ × 43¹

Step-3: Factors of 35250

List of positive integer factors of 35250 that divides 35250 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 47, 50, 75, 94, 125, 141, 150, 235, 250, 282, 375, 470, 705, 750, 1175, 1410, 2350, 3525, 5875, 7050, 11750, 17625

Step-4: Factors of 35260

List of positive integer factors of 35260 that divides 35250 without a remainder.

1, 2, 4, 5, 10, 20, 41, 43, 82, 86, 164, 172, 205, 215, 410, 430, 820, 860, 1763, 3526, 7052, 8815, 17630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35250 and 35260. The biggest common factor number is the GCF number.
So the greatest common factor 35250 and 35260 is 10.

Also check out the Least Common Multiple of 35250 and 35260