What is the Greatest Common Factor of 97920 and 97937?

Greatest common factor (GCF) of 97920 and 97937 is 17.

GCF(97920,97937) = 17

We will now calculate the prime factors of 97920 and 97937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97920 and 97937.

How to find the GCF of 97920 and 97937?

We will first find the prime factorization of 97920 and 97937. After we will calculate the factors of 97920 and 97937 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 97937

Prime factors of 97937 are 7, 17, 823. Prime factorization of 97937 in exponential form is:

97937 = 7¹ × 17¹ × 823¹

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 97937

List of positive integer factors of 97937 that divides 97920 without a remainder.

1, 7, 17, 119, 823, 5761, 13991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97920 and 97937. The biggest common factor number is the GCF number.
So the greatest common factor 97920 and 97937 is 17.

Also check out the Least Common Multiple of 97920 and 97937