What is the Greatest Common Factor of 97686 and 97704?

Greatest common factor (GCF) of 97686 and 97704 is 18.

GCF(97686,97704) = 18

We will now calculate the prime factors of 97686 and 97704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97686 and 97704.

How to find the GCF of 97686 and 97704?

We will first find the prime factorization of 97686 and 97704. After we will calculate the factors of 97686 and 97704 and find the biggest common factor number .

Step-1: Prime Factorization of 97686

Prime factors of 97686 are 2, 3, 67. Prime factorization of 97686 in exponential form is:

97686 = 2¹ × 3⁶ × 67¹

Step-2: Prime Factorization of 97704

Prime factors of 97704 are 2, 3, 23, 59. Prime factorization of 97704 in exponential form is:

97704 = 2³ × 3² × 23¹ × 59¹

Step-3: Factors of 97686

List of positive integer factors of 97686 that divides 97686 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 67, 81, 134, 162, 201, 243, 402, 486, 603, 729, 1206, 1458, 1809, 3618, 5427, 10854, 16281, 32562, 48843

Step-4: Factors of 97704

List of positive integer factors of 97704 that divides 97686 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 46, 59, 69, 72, 92, 118, 138, 177, 184, 207, 236, 276, 354, 414, 472, 531, 552, 708, 828, 1062, 1357, 1416, 1656, 2124, 2714, 4071, 4248, 5428, 8142, 10856, 12213, 16284, 24426, 32568, 48852

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97686 and 97704. The biggest common factor number is the GCF number.
So the greatest common factor 97686 and 97704 is 18.

Also check out the Least Common Multiple of 97686 and 97704