What is the Greatest Common Factor of 97172 and 97189?

Greatest common factor (GCF) of 97172 and 97189 is 17.

GCF(97172,97189) = 17

We will now calculate the prime factors of 97172 and 97189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97172 and 97189.

How to find the GCF of 97172 and 97189?

We will first find the prime factorization of 97172 and 97189. After we will calculate the factors of 97172 and 97189 and find the biggest common factor number .

Step-1: Prime Factorization of 97172

Prime factors of 97172 are 2, 17, 1429. Prime factorization of 97172 in exponential form is:

97172 = 2² × 17¹ × 1429¹

Step-2: Prime Factorization of 97189

Prime factors of 97189 are 17, 5717. Prime factorization of 97189 in exponential form is:

97189 = 17¹ × 5717¹

Step-3: Factors of 97172

List of positive integer factors of 97172 that divides 97172 without a remainder.

1, 2, 4, 17, 34, 68, 1429, 2858, 5716, 24293, 48586

Step-4: Factors of 97189

List of positive integer factors of 97189 that divides 97172 without a remainder.

1, 17, 5717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97172 and 97189. The biggest common factor number is the GCF number.
So the greatest common factor 97172 and 97189 is 17.

Also check out the Least Common Multiple of 97172 and 97189