What is the Greatest Common Factor of 98496 and 98501?

Greatest common factor (GCF) of 98496 and 98501 is 1.

GCF(98496,98501) = 1

We will now calculate the prime factors of 98496 and 98501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98496 and 98501.

How to find the GCF of 98496 and 98501?

We will first find the prime factorization of 98496 and 98501. After we will calculate the factors of 98496 and 98501 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 98501

Prime factors of 98501 are 13, 7577. Prime factorization of 98501 in exponential form is:

98501 = 13¹ × 7577¹

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 98501

List of positive integer factors of 98501 that divides 98496 without a remainder.

1, 13, 7577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98496 and 98501. The biggest common factor number is the GCF number.
So the greatest common factor 98496 and 98501 is 1.

Also check out the Least Common Multiple of 98496 and 98501