What is the Greatest Common Factor of 97704 and 97723?

Greatest common factor (GCF) of 97704 and 97723 is 1.

GCF(97704,97723) = 1

We will now calculate the prime factors of 97704 and 97723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97704 and 97723.

How to find the GCF of 97704 and 97723?

We will first find the prime factorization of 97704 and 97723. After we will calculate the factors of 97704 and 97723 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97723

Prime factors of 97723 are 79, 1237. Prime factorization of 97723 in exponential form is:

97723 = 79¹ × 1237¹

Step-3: Factors of 97704

List of positive integer factors of 97704 that divides 97704 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

Step-4: Factors of 97723

List of positive integer factors of 97723 that divides 97704 without a remainder.

1, 79, 1237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97704 and 97723. The biggest common factor number is the GCF number.
So the greatest common factor 97704 and 97723 is 1.

Also check out the Least Common Multiple of 97704 and 97723