What is the Greatest Common Factor of 97809 and 97818?

Greatest common factor (GCF) of 97809 and 97818 is 3.

GCF(97809,97818) = 3

We will now calculate the prime factors of 97809 and 97818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97809 and 97818.

How to find the GCF of 97809 and 97818?

We will first find the prime factorization of 97809 and 97818. After we will calculate the factors of 97809 and 97818 and find the biggest common factor number .

Step-1: Prime Factorization of 97809

Prime factors of 97809 are 3, 32603. Prime factorization of 97809 in exponential form is:

97809 = 3¹ × 32603¹

Step-2: Prime Factorization of 97818

Prime factors of 97818 are 2, 3, 7, 17, 137. Prime factorization of 97818 in exponential form is:

97818 = 2¹ × 3¹ × 7¹ × 17¹ × 137¹

Step-3: Factors of 97809

List of positive integer factors of 97809 that divides 97809 without a remainder.

1, 3, 32603

Step-4: Factors of 97818

List of positive integer factors of 97818 that divides 97809 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 137, 238, 274, 357, 411, 714, 822, 959, 1918, 2329, 2877, 4658, 5754, 6987, 13974, 16303, 32606, 48909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97809 and 97818. The biggest common factor number is the GCF number.
So the greatest common factor 97809 and 97818 is 3.

Also check out the Least Common Multiple of 97809 and 97818