What is the Greatest Common Factor of 98488 and 98496?

Greatest common factor (GCF) of 98488 and 98496 is 8.

GCF(98488,98496) = 8

We will now calculate the prime factors of 98488 and 98496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98488 and 98496.

How to find the GCF of 98488 and 98496?

We will first find the prime factorization of 98488 and 98496. After we will calculate the factors of 98488 and 98496 and find the biggest common factor number .

Step-1: Prime Factorization of 98488

Prime factors of 98488 are 2, 13, 947. Prime factorization of 98488 in exponential form is:

98488 = 2³ × 13¹ × 947¹

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 98488

List of positive integer factors of 98488 that divides 98488 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 947, 1894, 3788, 7576, 12311, 24622, 49244

Step-4: Factors of 98496

List of positive integer factors of 98496 that divides 98488 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 98488 and 98496. The biggest common factor number is the GCF number.
So the greatest common factor 98488 and 98496 is 8.

Also check out the Least Common Multiple of 98488 and 98496