What is the Greatest Common Factor of 35230 and 35250?

Greatest common factor (GCF) of 35230 and 35250 is 10.

GCF(35230,35250) = 10

We will now calculate the prime factors of 35230 and 35250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35230 and 35250.

How to find the GCF of 35230 and 35250?

We will first find the prime factorization of 35230 and 35250. After we will calculate the factors of 35230 and 35250 and find the biggest common factor number .

Step-1: Prime Factorization of 35230

Prime factors of 35230 are 2, 5, 13, 271. Prime factorization of 35230 in exponential form is:

35230 = 2¹ × 5¹ × 13¹ × 271¹

Step-2: 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-3: Factors of 35230

List of positive integer factors of 35230 that divides 35230 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 271, 542, 1355, 2710, 3523, 7046, 17615

Step-4: Factors of 35250

List of positive integer factors of 35250 that divides 35230 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35230 and 35250. The biggest common factor number is the GCF number.
So the greatest common factor 35230 and 35250 is 10.

Also check out the Least Common Multiple of 35230 and 35250