What is the Greatest Common Factor of 99258 and 99264?

Greatest common factor (GCF) of 99258 and 99264 is 6.

GCF(99258,99264) = 6

We will now calculate the prime factors of 99258 and 99264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99258 and 99264.

How to find the GCF of 99258 and 99264?

We will first find the prime factorization of 99258 and 99264. After we will calculate the factors of 99258 and 99264 and find the biggest common factor number .

Step-1: Prime Factorization of 99258

Prime factors of 99258 are 2, 3, 71, 233. Prime factorization of 99258 in exponential form is:

99258 = 2¹ × 3¹ × 71¹ × 233¹

Step-2: Prime Factorization of 99264

Prime factors of 99264 are 2, 3, 11, 47. Prime factorization of 99264 in exponential form is:

99264 = 2⁶ × 3¹ × 11¹ × 47¹

Step-3: Factors of 99258

List of positive integer factors of 99258 that divides 99258 without a remainder.

1, 2, 3, 6, 71, 142, 213, 233, 426, 466, 699, 1398, 16543, 33086, 49629

Step-4: Factors of 99264

List of positive integer factors of 99264 that divides 99258 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 47, 48, 64, 66, 88, 94, 96, 132, 141, 176, 188, 192, 264, 282, 352, 376, 517, 528, 564, 704, 752, 1034, 1056, 1128, 1504, 1551, 2068, 2112, 2256, 3008, 3102, 4136, 4512, 6204, 8272, 9024, 12408, 16544, 24816, 33088, 49632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99258 and 99264. The biggest common factor number is the GCF number.
So the greatest common factor 99258 and 99264 is 6.

Also check out the Least Common Multiple of 99258 and 99264