What is the Greatest Common Factor of 97223 and 97240?

Greatest common factor (GCF) of 97223 and 97240 is 17.

GCF(97223,97240) = 17

We will now calculate the prime factors of 97223 and 97240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97223 and 97240.

How to find the GCF of 97223 and 97240?

We will first find the prime factorization of 97223 and 97240. After we will calculate the factors of 97223 and 97240 and find the biggest common factor number .

Step-1: Prime Factorization of 97223

Prime factors of 97223 are 7, 17, 19, 43. Prime factorization of 97223 in exponential form is:

97223 = 7¹ × 17¹ × 19¹ × 43¹

Step-2: Prime Factorization of 97240

Prime factors of 97240 are 2, 5, 11, 13, 17. Prime factorization of 97240 in exponential form is:

97240 = 2³ × 5¹ × 11¹ × 13¹ × 17¹

Step-3: Factors of 97223

List of positive integer factors of 97223 that divides 97223 without a remainder.

1, 7, 17, 19, 43, 119, 133, 301, 323, 731, 817, 2261, 5117, 5719, 13889

Step-4: Factors of 97240

List of positive integer factors of 97240 that divides 97223 without a remainder.

1, 2, 4, 5, 8, 10, 11, 13, 17, 20, 22, 26, 34, 40, 44, 52, 55, 65, 68, 85, 88, 104, 110, 130, 136, 143, 170, 187, 220, 221, 260, 286, 340, 374, 440, 442, 520, 572, 680, 715, 748, 884, 935, 1105, 1144, 1430, 1496, 1768, 1870, 2210, 2431, 2860, 3740, 4420, 4862, 5720, 7480, 8840, 9724, 12155, 19448, 24310, 48620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97223 and 97240. The biggest common factor number is the GCF number.
So the greatest common factor 97223 and 97240 is 17.

Also check out the Least Common Multiple of 97223 and 97240