What is the Greatest Common Factor of 97065 and 97084?

Greatest common factor (GCF) of 97065 and 97084 is 1.

GCF(97065,97084) = 1

We will now calculate the prime factors of 97065 and 97084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97065 and 97084.

How to find the GCF of 97065 and 97084?

We will first find the prime factorization of 97065 and 97084. After we will calculate the factors of 97065 and 97084 and find the biggest common factor number .

Step-1: Prime Factorization of 97065

Prime factors of 97065 are 3, 5, 719. Prime factorization of 97065 in exponential form is:

97065 = 3³ × 5¹ × 719¹

Step-2: Prime Factorization of 97084

Prime factors of 97084 are 2, 13, 1867. Prime factorization of 97084 in exponential form is:

97084 = 2² × 13¹ × 1867¹

Step-3: Factors of 97065

List of positive integer factors of 97065 that divides 97065 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 719, 2157, 3595, 6471, 10785, 19413, 32355

Step-4: Factors of 97084

List of positive integer factors of 97084 that divides 97065 without a remainder.

1, 2, 4, 13, 26, 52, 1867, 3734, 7468, 24271, 48542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97065 and 97084. The biggest common factor number is the GCF number.
So the greatest common factor 97065 and 97084 is 1.

Also check out the Least Common Multiple of 97065 and 97084