What is the Greatest Common Factor of 97904 and 97923?

Greatest common factor (GCF) of 97904 and 97923 is 1.

GCF(97904,97923) = 1

We will now calculate the prime factors of 97904 and 97923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97904 and 97923.

How to find the GCF of 97904 and 97923?

We will first find the prime factorization of 97904 and 97923. After we will calculate the factors of 97904 and 97923 and find the biggest common factor number .

Step-1: Prime Factorization of 97904

Prime factors of 97904 are 2, 29, 211. Prime factorization of 97904 in exponential form is:

97904 = 2⁴ × 29¹ × 211¹

Step-2: Prime Factorization of 97923

Prime factors of 97923 are 3, 7, 4663. Prime factorization of 97923 in exponential form is:

97923 = 3¹ × 7¹ × 4663¹

Step-3: Factors of 97904

List of positive integer factors of 97904 that divides 97904 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 211, 232, 422, 464, 844, 1688, 3376, 6119, 12238, 24476, 48952

Step-4: Factors of 97923

List of positive integer factors of 97923 that divides 97904 without a remainder.

1, 3, 7, 21, 4663, 13989, 32641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97904 and 97923. The biggest common factor number is the GCF number.
So the greatest common factor 97904 and 97923 is 1.

Also check out the Least Common Multiple of 97904 and 97923