What is the Greatest Common Factor of 97207 and 97218?

Greatest common factor (GCF) of 97207 and 97218 is 11.

GCF(97207,97218) = 11

We will now calculate the prime factors of 97207 and 97218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97207 and 97218.

How to find the GCF of 97207 and 97218?

We will first find the prime factorization of 97207 and 97218. After we will calculate the factors of 97207 and 97218 and find the biggest common factor number .

Step-1: Prime Factorization of 97207

Prime factors of 97207 are 11, 8837. Prime factorization of 97207 in exponential form is:

97207 = 11¹ × 8837¹

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 97207

List of positive integer factors of 97207 that divides 97207 without a remainder.

1, 11, 8837

Step-4: Factors of 97218

List of positive integer factors of 97218 that divides 97207 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 97207 and 97218. The biggest common factor number is the GCF number.
So the greatest common factor 97207 and 97218 is 11.

Also check out the Least Common Multiple of 97207 and 97218