What is the Greatest Common Factor of 97123 and 97136?

Greatest common factor (GCF) of 97123 and 97136 is 13.

GCF(97123,97136) = 13

We will now calculate the prime factors of 97123 and 97136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97123 and 97136.

How to find the GCF of 97123 and 97136?

We will first find the prime factorization of 97123 and 97136. After we will calculate the factors of 97123 and 97136 and find the biggest common factor number .

Step-1: Prime Factorization of 97123

Prime factors of 97123 are 13, 31, 241. Prime factorization of 97123 in exponential form is:

97123 = 13¹ × 31¹ × 241¹

Step-2: Prime Factorization of 97136

Prime factors of 97136 are 2, 13, 467. Prime factorization of 97136 in exponential form is:

97136 = 2⁴ × 13¹ × 467¹

Step-3: Factors of 97123

List of positive integer factors of 97123 that divides 97123 without a remainder.

1, 13, 31, 241, 403, 3133, 7471

Step-4: Factors of 97136

List of positive integer factors of 97136 that divides 97123 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 467, 934, 1868, 3736, 6071, 7472, 12142, 24284, 48568

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97123 and 97136. The biggest common factor number is the GCF number.
So the greatest common factor 97123 and 97136 is 13.

Also check out the Least Common Multiple of 97123 and 97136