What is the Greatest Common Factor of 98478 and 98496?

Greatest common factor (GCF) of 98478 and 98496 is 18.

GCF(98478,98496) = 18

We will now calculate the prime factors of 98478 and 98496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98478 and 98496.

How to find the GCF of 98478 and 98496?

We will first find the prime factorization of 98478 and 98496. After we will calculate the factors of 98478 and 98496 and find the biggest common factor number .

Step-1: Prime Factorization of 98478

Prime factors of 98478 are 2, 3, 5471. Prime factorization of 98478 in exponential form is:

98478 = 2¹ × 3² × 5471¹

Step-2: 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-3: Factors of 98478

List of positive integer factors of 98478 that divides 98478 without a remainder.

1, 2, 3, 6, 9, 18, 5471, 10942, 16413, 32826, 49239

Step-4: Factors of 98496

List of positive integer factors of 98496 that divides 98478 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98478 and 98496. The biggest common factor number is the GCF number.
So the greatest common factor 98478 and 98496 is 18.

Also check out the Least Common Multiple of 98478 and 98496