What is the Greatest Common Factor of 97289 and 97308?

Greatest common factor (GCF) of 97289 and 97308 is 1.

GCF(97289,97308) = 1

We will now calculate the prime factors of 97289 and 97308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97289 and 97308.

How to find the GCF of 97289 and 97308?

We will first find the prime factorization of 97289 and 97308. After we will calculate the factors of 97289 and 97308 and find the biggest common factor number .

Step-1: Prime Factorization of 97289

Prime factors of 97289 are 271, 359. Prime factorization of 97289 in exponential form is:

97289 = 271¹ × 359¹

Step-2: Prime Factorization of 97308

Prime factors of 97308 are 2, 3, 17, 53. Prime factorization of 97308 in exponential form is:

97308 = 2² × 3³ × 17¹ × 53¹

Step-3: Factors of 97289

List of positive integer factors of 97289 that divides 97289 without a remainder.

1, 271, 359

Step-4: Factors of 97308

List of positive integer factors of 97308 that divides 97289 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 53, 54, 68, 102, 106, 108, 153, 159, 204, 212, 306, 318, 459, 477, 612, 636, 901, 918, 954, 1431, 1802, 1836, 1908, 2703, 2862, 3604, 5406, 5724, 8109, 10812, 16218, 24327, 32436, 48654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97289 and 97308. The biggest common factor number is the GCF number.
So the greatest common factor 97289 and 97308 is 1.

Also check out the Least Common Multiple of 97289 and 97308