What is the Greatest Common Factor of 97206 and 97218?

Greatest common factor (GCF) of 97206 and 97218 is 6.

GCF(97206,97218) = 6

We will now calculate the prime factors of 97206 and 97218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97206 and 97218.

How to find the GCF of 97206 and 97218?

We will first find the prime factorization of 97206 and 97218. After we will calculate the factors of 97206 and 97218 and find the biggest common factor number .

Step-1: Prime Factorization of 97206

Prime factors of 97206 are 2, 3, 17, 953. Prime factorization of 97206 in exponential form is:

97206 = 2¹ × 3¹ × 17¹ × 953¹

Step-2: Prime Factorization of 97218

Prime factors of 97218 are 2, 3, 11, 491. Prime factorization of 97218 in exponential form is:

97218 = 2¹ × 3² × 11¹ × 491¹

Step-3: Factors of 97206

List of positive integer factors of 97206 that divides 97206 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 953, 1906, 2859, 5718, 16201, 32402, 48603

Step-4: Factors of 97218

List of positive integer factors of 97218 that divides 97206 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 491, 982, 1473, 2946, 4419, 5401, 8838, 10802, 16203, 32406, 48609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97206 and 97218. The biggest common factor number is the GCF number.
So the greatest common factor 97206 and 97218 is 6.

Also check out the Least Common Multiple of 97206 and 97218