What is the Greatest Common Factor of 97688 and 97704?

Greatest common factor (GCF) of 97688 and 97704 is 8.

GCF(97688,97704) = 8

We will now calculate the prime factors of 97688 and 97704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97688 and 97704.

How to find the GCF of 97688 and 97704?

We will first find the prime factorization of 97688 and 97704. After we will calculate the factors of 97688 and 97704 and find the biggest common factor number .

Step-1: Prime Factorization of 97688

Prime factors of 97688 are 2, 12211. Prime factorization of 97688 in exponential form is:

97688 = 2³ × 12211¹

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 97688

List of positive integer factors of 97688 that divides 97688 without a remainder.

1, 2, 4, 8, 12211, 24422, 48844

Step-4: Factors of 97704

List of positive integer factors of 97704 that divides 97688 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 97688 and 97704. The biggest common factor number is the GCF number.
So the greatest common factor 97688 and 97704 is 8.

Also check out the Least Common Multiple of 97688 and 97704