What is the Greatest Common Factor of 98496 and 98508?

Greatest common factor (GCF) of 98496 and 98508 is 12.

GCF(98496,98508) = 12

We will now calculate the prime factors of 98496 and 98508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98496 and 98508.

How to find the GCF of 98496 and 98508?

We will first find the prime factorization of 98496 and 98508. After we will calculate the factors of 98496 and 98508 and find the biggest common factor number .

Step-1: Prime Factorization of 98496

Prime factors of 98496 are 2, 3, 19. Prime factorization of 98496 in exponential form is:

98496 = 2⁶ × 3⁴ × 19¹

Step-2: Prime Factorization of 98508

Prime factors of 98508 are 2, 3, 8209. Prime factorization of 98508 in exponential form is:

98508 = 2² × 3¹ × 8209¹

Step-3: Factors of 98496

List of positive integer factors of 98496 that divides 98496 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 32, 36, 38, 48, 54, 57, 64, 72, 76, 81, 96, 108, 114, 144, 152, 162, 171, 192, 216, 228, 288, 304, 324, 342, 432, 456, 513, 576, 608, 648, 684, 864, 912, 1026, 1216, 1296, 1368, 1539, 1728, 1824, 2052, 2592, 2736, 3078, 3648, 4104, 5184, 5472, 6156, 8208, 10944, 12312, 16416, 24624, 32832, 49248

Step-4: Factors of 98508

List of positive integer factors of 98508 that divides 98496 without a remainder.

1, 2, 3, 4, 6, 12, 8209, 16418, 24627, 32836, 49254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98496 and 98508. The biggest common factor number is the GCF number.
So the greatest common factor 98496 and 98508 is 12.

Also check out the Least Common Multiple of 98496 and 98508