What is the Greatest Common Factor of 97240 and 97257?

Greatest common factor (GCF) of 97240 and 97257 is 17.

GCF(97240,97257) = 17

We will now calculate the prime factors of 97240 and 97257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97240 and 97257.

How to find the GCF of 97240 and 97257?

We will first find the prime factorization of 97240 and 97257. After we will calculate the factors of 97240 and 97257 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97257

Prime factors of 97257 are 3, 17, 1907. Prime factorization of 97257 in exponential form is:

97257 = 3¹ × 17¹ × 1907¹

Step-3: Factors of 97240

List of positive integer factors of 97240 that divides 97240 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

Step-4: Factors of 97257

List of positive integer factors of 97257 that divides 97240 without a remainder.

1, 3, 17, 51, 1907, 5721, 32419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97240 and 97257. The biggest common factor number is the GCF number.
So the greatest common factor 97240 and 97257 is 17.

Also check out the Least Common Multiple of 97240 and 97257