What is the Greatest Common Factor of 35250 and 35265?

Greatest common factor (GCF) of 35250 and 35265 is 15.

GCF(35250,35265) = 15

We will now calculate the prime factors of 35250 and 35265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35250 and 35265.

How to find the GCF of 35250 and 35265?

We will first find the prime factorization of 35250 and 35265. After we will calculate the factors of 35250 and 35265 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 35265

Prime factors of 35265 are 3, 5, 2351. Prime factorization of 35265 in exponential form is:

35265 = 3¹ × 5¹ × 2351¹

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 35265

List of positive integer factors of 35265 that divides 35250 without a remainder.

1, 3, 5, 15, 2351, 7053, 11755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35250 and 35265. The biggest common factor number is the GCF number.
So the greatest common factor 35250 and 35265 is 15.

Also check out the Least Common Multiple of 35250 and 35265