What is the Greatest Common Factor of 97920 and 97935?

Greatest common factor (GCF) of 97920 and 97935 is 15.

GCF(97920,97935) = 15

We will now calculate the prime factors of 97920 and 97935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97920 and 97935.

How to find the GCF of 97920 and 97935?

We will first find the prime factorization of 97920 and 97935. After we will calculate the factors of 97920 and 97935 and find the biggest common factor number .

Step-1: Prime Factorization of 97920

Prime factors of 97920 are 2, 3, 5, 17. Prime factorization of 97920 in exponential form is:

97920 = 2⁷ × 3² × 5¹ × 17¹

Step-2: Prime Factorization of 97935

Prime factors of 97935 are 3, 5, 6529. Prime factorization of 97935 in exponential form is:

97935 = 3¹ × 5¹ × 6529¹

Step-3: Factors of 97920

List of positive integer factors of 97920 that divides 97920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 24, 30, 32, 34, 36, 40, 45, 48, 51, 60, 64, 68, 72, 80, 85, 90, 96, 102, 120, 128, 136, 144, 153, 160, 170, 180, 192, 204, 240, 255, 272, 288, 306, 320, 340, 360, 384, 408, 480, 510, 544, 576, 612, 640, 680, 720, 765, 816, 960, 1020, 1088, 1152, 1224, 1360, 1440, 1530, 1632, 1920, 2040, 2176, 2448, 2720, 2880, 3060, 3264, 4080, 4896, 5440, 5760, 6120, 6528, 8160, 9792, 10880, 12240, 16320, 19584, 24480, 32640, 48960

Step-4: Factors of 97935

List of positive integer factors of 97935 that divides 97920 without a remainder.

1, 3, 5, 15, 6529, 19587, 32645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97920 and 97935. The biggest common factor number is the GCF number.
So the greatest common factor 97920 and 97935 is 15.

Also check out the Least Common Multiple of 97920 and 97935