What is the Greatest Common Factor of 97109 and 97125?

Greatest common factor (GCF) of 97109 and 97125 is 1.

GCF(97109,97125) = 1

We will now calculate the prime factors of 97109 and 97125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97109 and 97125.

How to find the GCF of 97109 and 97125?

We will first find the prime factorization of 97109 and 97125. After we will calculate the factors of 97109 and 97125 and find the biggest common factor number .

Step-1: Prime Factorization of 97109

Prime factors of 97109 are 19, 269. Prime factorization of 97109 in exponential form is:

97109 = 19² × 269¹

Step-2: 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-3: Factors of 97109

List of positive integer factors of 97109 that divides 97109 without a remainder.

1, 19, 269, 361, 5111

Step-4: Factors of 97125

List of positive integer factors of 97125 that divides 97109 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97109 and 97125. The biggest common factor number is the GCF number.
So the greatest common factor 97109 and 97125 is 1.

Also check out the Least Common Multiple of 97109 and 97125