What is the Greatest Common Factor of 99229 and 99246?

Greatest common factor (GCF) of 99229 and 99246 is 17.

GCF(99229,99246) = 17

We will now calculate the prime factors of 99229 and 99246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99229 and 99246.

How to find the GCF of 99229 and 99246?

We will first find the prime factorization of 99229 and 99246. After we will calculate the factors of 99229 and 99246 and find the biggest common factor number .

Step-1: Prime Factorization of 99229

Prime factors of 99229 are 13, 17, 449. Prime factorization of 99229 in exponential form is:

99229 = 13¹ × 17¹ × 449¹

Step-2: Prime Factorization of 99246

Prime factors of 99246 are 2, 3, 7, 17, 139. Prime factorization of 99246 in exponential form is:

99246 = 2¹ × 3¹ × 7¹ × 17¹ × 139¹

Step-3: Factors of 99229

List of positive integer factors of 99229 that divides 99229 without a remainder.

1, 13, 17, 221, 449, 5837, 7633

Step-4: Factors of 99246

List of positive integer factors of 99246 that divides 99229 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 139, 238, 278, 357, 417, 714, 834, 973, 1946, 2363, 2919, 4726, 5838, 7089, 14178, 16541, 33082, 49623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99229 and 99246. The biggest common factor number is the GCF number.
So the greatest common factor 99229 and 99246 is 17.

Also check out the Least Common Multiple of 99229 and 99246