What is the Greatest Common Factor of 99246 and 99253?

Greatest common factor (GCF) of 99246 and 99253 is 7.

GCF(99246,99253) = 7

We will now calculate the prime factors of 99246 and 99253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99246 and 99253.

How to find the GCF of 99246 and 99253?

We will first find the prime factorization of 99246 and 99253. After we will calculate the factors of 99246 and 99253 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99253

Prime factors of 99253 are 7, 11, 1289. Prime factorization of 99253 in exponential form is:

99253 = 7¹ × 11¹ × 1289¹

Step-3: Factors of 99246

List of positive integer factors of 99246 that divides 99246 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

Step-4: Factors of 99253

List of positive integer factors of 99253 that divides 99246 without a remainder.

1, 7, 11, 77, 1289, 9023, 14179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99246 and 99253. The biggest common factor number is the GCF number.
So the greatest common factor 99246 and 99253 is 7.

Also check out the Least Common Multiple of 99246 and 99253