What is the Greatest Common Factor of 97125 and 97141?

Greatest common factor (GCF) of 97125 and 97141 is 1.

GCF(97125,97141) = 1

We will now calculate the prime factors of 97125 and 97141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97125 and 97141.

How to find the GCF of 97125 and 97141?

We will first find the prime factorization of 97125 and 97141. After we will calculate the factors of 97125 and 97141 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 97141

Prime factors of 97141 are 11, 8831. Prime factorization of 97141 in exponential form is:

97141 = 11¹ × 8831¹

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 97141

List of positive integer factors of 97141 that divides 97125 without a remainder.

1, 11, 8831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97125 and 97141. The biggest common factor number is the GCF number.
So the greatest common factor 97125 and 97141 is 1.

Also check out the Least Common Multiple of 97125 and 97141