What is the Greatest Common Factor of 97218 and 97229?

Greatest common factor (GCF) of 97218 and 97229 is 11.

GCF(97218,97229) = 11

We will now calculate the prime factors of 97218 and 97229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97218 and 97229.

How to find the GCF of 97218 and 97229?

We will first find the prime factorization of 97218 and 97229. After we will calculate the factors of 97218 and 97229 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97229

Prime factors of 97229 are 11, 8839. Prime factorization of 97229 in exponential form is:

97229 = 11¹ × 8839¹

Step-3: Factors of 97218

List of positive integer factors of 97218 that divides 97218 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

Step-4: Factors of 97229

List of positive integer factors of 97229 that divides 97218 without a remainder.

1, 11, 8839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97218 and 97229. The biggest common factor number is the GCF number.
So the greatest common factor 97218 and 97229 is 11.

Also check out the Least Common Multiple of 97218 and 97229