What is the Greatest Common Factor of 35217 and 35230?

Greatest common factor (GCF) of 35217 and 35230 is 13.

GCF(35217,35230) = 13

We will now calculate the prime factors of 35217 and 35230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35217 and 35230.

How to find the GCF of 35217 and 35230?

We will first find the prime factorization of 35217 and 35230. After we will calculate the factors of 35217 and 35230 and find the biggest common factor number .

Step-1: Prime Factorization of 35217

Prime factors of 35217 are 3, 7, 13, 43. Prime factorization of 35217 in exponential form is:

35217 = 3² × 7¹ × 13¹ × 43¹

Step-2: 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-3: Factors of 35217

List of positive integer factors of 35217 that divides 35217 without a remainder.

1, 3, 7, 9, 13, 21, 39, 43, 63, 91, 117, 129, 273, 301, 387, 559, 819, 903, 1677, 2709, 3913, 5031, 11739

Step-4: Factors of 35230

List of positive integer factors of 35230 that divides 35217 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35217 and 35230. The biggest common factor number is the GCF number.
So the greatest common factor 35217 and 35230 is 13.

Also check out the Least Common Multiple of 35217 and 35230