What is the Greatest Common Factor of 35217 and 35237?

Greatest common factor (GCF) of 35217 and 35237 is 1.

GCF(35217,35237) = 1

We will now calculate the prime factors of 35217 and 35237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35217 and 35237.

How to find the GCF of 35217 and 35237?

We will first find the prime factorization of 35217 and 35237. After we will calculate the factors of 35217 and 35237 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 35237

Prime factors of 35237 are 167, 211. Prime factorization of 35237 in exponential form is:

35237 = 167¹ × 211¹

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 35237

List of positive integer factors of 35237 that divides 35217 without a remainder.

1, 167, 211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35217 and 35237. The biggest common factor number is the GCF number.
So the greatest common factor 35217 and 35237 is 1.

Also check out the Least Common Multiple of 35217 and 35237