What is the Greatest Common Factor of 97254 and 97260?

Greatest common factor (GCF) of 97254 and 97260 is 6.

GCF(97254,97260) = 6

We will now calculate the prime factors of 97254 and 97260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97254 and 97260.

How to find the GCF of 97254 and 97260?

We will first find the prime factorization of 97254 and 97260. After we will calculate the factors of 97254 and 97260 and find the biggest common factor number .

Step-1: Prime Factorization of 97254

Prime factors of 97254 are 2, 3, 1801. Prime factorization of 97254 in exponential form is:

97254 = 2¹ × 3³ × 1801¹

Step-2: Prime Factorization of 97260

Prime factors of 97260 are 2, 3, 5, 1621. Prime factorization of 97260 in exponential form is:

97260 = 2² × 3¹ × 5¹ × 1621¹

Step-3: Factors of 97254

List of positive integer factors of 97254 that divides 97254 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1801, 3602, 5403, 10806, 16209, 32418, 48627

Step-4: Factors of 97260

List of positive integer factors of 97260 that divides 97254 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1621, 3242, 4863, 6484, 8105, 9726, 16210, 19452, 24315, 32420, 48630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97254 and 97260. The biggest common factor number is the GCF number.
So the greatest common factor 97254 and 97260 is 6.

Also check out the Least Common Multiple of 97254 and 97260