What is the Greatest Common Factor of 98496 and 98514?

Greatest common factor (GCF) of 98496 and 98514 is 18.

GCF(98496,98514) = 18

We will now calculate the prime factors of 98496 and 98514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98496 and 98514.

How to find the GCF of 98496 and 98514?

We will first find the prime factorization of 98496 and 98514. After we will calculate the factors of 98496 and 98514 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 98514

Prime factors of 98514 are 2, 3, 13, 421. Prime factorization of 98514 in exponential form is:

98514 = 2¹ × 3² × 13¹ × 421¹

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 98514

List of positive integer factors of 98514 that divides 98496 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 421, 842, 1263, 2526, 3789, 5473, 7578, 10946, 16419, 32838, 49257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98496 and 98514. The biggest common factor number is the GCF number.
So the greatest common factor 98496 and 98514 is 18.

Also check out the Least Common Multiple of 98496 and 98514