What is the Greatest Common Factor of 97117 and 97136?

Greatest common factor (GCF) of 97117 and 97136 is 1.

GCF(97117,97136) = 1

We will now calculate the prime factors of 97117 and 97136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97117 and 97136.

How to find the GCF of 97117 and 97136?

We will first find the prime factorization of 97117 and 97136. After we will calculate the factors of 97117 and 97136 and find the biggest common factor number .

Step-1: Prime Factorization of 97117

Prime factors of 97117 are 97117. Prime factorization of 97117 in exponential form is:

97117 = 97117¹

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 97117

List of positive integer factors of 97117 that divides 97117 without a remainder.

Step-4: Factors of 97136

List of positive integer factors of 97136 that divides 97117 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 97117 and 97136. The biggest common factor number is the GCF number.
So the greatest common factor 97117 and 97136 is 1.

Also check out the Least Common Multiple of 97117 and 97136