What is the Greatest Common Factor of 98489 and 98496?

Greatest common factor (GCF) of 98489 and 98496 is 1.

GCF(98489,98496) = 1

We will now calculate the prime factors of 98489 and 98496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98489 and 98496.

How to find the GCF of 98489 and 98496?

We will first find the prime factorization of 98489 and 98496. After we will calculate the factors of 98489 and 98496 and find the biggest common factor number .

Step-1: Prime Factorization of 98489

Prime factors of 98489 are 149, 661. Prime factorization of 98489 in exponential form is:

98489 = 149¹ × 661¹

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 98489

List of positive integer factors of 98489 that divides 98489 without a remainder.

1, 149, 661

Step-4: Factors of 98496

List of positive integer factors of 98496 that divides 98489 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 98489 and 98496. The biggest common factor number is the GCF number.
So the greatest common factor 98489 and 98496 is 1.

Also check out the Least Common Multiple of 98489 and 98496