What is the Greatest Common Factor of 97129 and 97146?

Greatest common factor (GCF) of 97129 and 97146 is 1.

GCF(97129,97146) = 1

We will now calculate the prime factors of 97129 and 97146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97129 and 97146.

How to find the GCF of 97129 and 97146?

We will first find the prime factorization of 97129 and 97146. After we will calculate the factors of 97129 and 97146 and find the biggest common factor number .

Step-1: Prime Factorization of 97129

Prime factors of 97129 are 23, 41, 103. Prime factorization of 97129 in exponential form is:

97129 = 23¹ × 41¹ × 103¹

Step-2: Prime Factorization of 97146

Prime factors of 97146 are 2, 3, 7, 257. Prime factorization of 97146 in exponential form is:

97146 = 2¹ × 3³ × 7¹ × 257¹

Step-3: Factors of 97129

List of positive integer factors of 97129 that divides 97129 without a remainder.

1, 23, 41, 103, 943, 2369, 4223

Step-4: Factors of 97146

List of positive integer factors of 97146 that divides 97129 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 257, 378, 514, 771, 1542, 1799, 2313, 3598, 4626, 5397, 6939, 10794, 13878, 16191, 32382, 48573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97129 and 97146. The biggest common factor number is the GCF number.
So the greatest common factor 97129 and 97146 is 1.

Also check out the Least Common Multiple of 97129 and 97146