What is the Greatest Common Factor of 35217 and 35224?

Greatest common factor (GCF) of 35217 and 35224 is 7.

GCF(35217,35224) = 7

We will now calculate the prime factors of 35217 and 35224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35217 and 35224.

How to find the GCF of 35217 and 35224?

We will first find the prime factorization of 35217 and 35224. After we will calculate the factors of 35217 and 35224 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 35224

Prime factors of 35224 are 2, 7, 17, 37. Prime factorization of 35224 in exponential form is:

35224 = 2³ × 7¹ × 17¹ × 37¹

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 35224

List of positive integer factors of 35224 that divides 35217 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 37, 56, 68, 74, 119, 136, 148, 238, 259, 296, 476, 518, 629, 952, 1036, 1258, 2072, 2516, 4403, 5032, 8806, 17612

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35217 and 35224. The biggest common factor number is the GCF number.
So the greatest common factor 35217 and 35224 is 7.

Also check out the Least Common Multiple of 35217 and 35224