What is the Greatest Common Factor of 97125 and 97129?

Greatest common factor (GCF) of 97125 and 97129 is 1.

GCF(97125,97129) = 1

We will now calculate the prime factors of 97125 and 97129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97125 and 97129.

How to find the GCF of 97125 and 97129?

We will first find the prime factorization of 97125 and 97129. After we will calculate the factors of 97125 and 97129 and find the biggest common factor number .

Step-1: Prime Factorization of 97125

Prime factors of 97125 are 3, 5, 7, 37. Prime factorization of 97125 in exponential form is:

97125 = 3¹ × 5³ × 7¹ × 37¹

Step-2: 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-3: Factors of 97125

List of positive integer factors of 97125 that divides 97125 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 37, 75, 105, 111, 125, 175, 185, 259, 375, 525, 555, 777, 875, 925, 1295, 2625, 2775, 3885, 4625, 6475, 13875, 19425, 32375

Step-4: Factors of 97129

List of positive integer factors of 97129 that divides 97125 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97125 and 97129. The biggest common factor number is the GCF number.
So the greatest common factor 97125 and 97129 is 1.

Also check out the Least Common Multiple of 97125 and 97129