What is the Greatest Common Factor of 97290 and 97310?

Greatest common factor (GCF) of 97290 and 97310 is 10.

GCF(97290,97310) = 10

We will now calculate the prime factors of 97290 and 97310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97290 and 97310.

How to find the GCF of 97290 and 97310?

We will first find the prime factorization of 97290 and 97310. After we will calculate the factors of 97290 and 97310 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 97310

Prime factors of 97310 are 2, 5, 37, 263. Prime factorization of 97310 in exponential form is:

97310 = 2¹ × 5¹ × 37¹ × 263¹

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 97310

List of positive integer factors of 97310 that divides 97290 without a remainder.

1, 2, 5, 10, 37, 74, 185, 263, 370, 526, 1315, 2630, 9731, 19462, 48655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97290 and 97310. The biggest common factor number is the GCF number.
So the greatest common factor 97290 and 97310 is 10.

Also check out the Least Common Multiple of 97290 and 97310