What is the Greatest Common Factor of 97290 and 97306?

Greatest common factor (GCF) of 97290 and 97306 is 2.

GCF(97290,97306) = 2

We will now calculate the prime factors of 97290 and 97306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97290 and 97306.

How to find the GCF of 97290 and 97306?

We will first find the prime factorization of 97290 and 97306. After we will calculate the factors of 97290 and 97306 and find the biggest common factor number .

Step-1: Prime Factorization of 97290

Prime factors of 97290 are 2, 3, 5, 23, 47. Prime factorization of 97290 in exponential form is:

97290 = 2¹ × 3² × 5¹ × 23¹ × 47¹

Step-2: Prime Factorization of 97306

Prime factors of 97306 are 2, 11, 4423. Prime factorization of 97306 in exponential form is:

97306 = 2¹ × 11¹ × 4423¹

Step-3: Factors of 97290

List of positive integer factors of 97290 that divides 97290 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 45, 46, 47, 69, 90, 94, 115, 138, 141, 207, 230, 235, 282, 345, 414, 423, 470, 690, 705, 846, 1035, 1081, 1410, 2070, 2115, 2162, 3243, 4230, 5405, 6486, 9729, 10810, 16215, 19458, 32430, 48645

Step-4: Factors of 97306

List of positive integer factors of 97306 that divides 97290 without a remainder.

1, 2, 11, 22, 4423, 8846, 48653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97290 and 97306. The biggest common factor number is the GCF number.
So the greatest common factor 97290 and 97306 is 2.

Also check out the Least Common Multiple of 97290 and 97306