What is the Greatest Common Factor of 97920 and 97940?

Greatest common factor (GCF) of 97920 and 97940 is 20.

GCF(97920,97940) = 20

We will now calculate the prime factors of 97920 and 97940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97920 and 97940.

How to find the GCF of 97920 and 97940?

We will first find the prime factorization of 97920 and 97940. After we will calculate the factors of 97920 and 97940 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 97940

Prime factors of 97940 are 2, 5, 59, 83. Prime factorization of 97940 in exponential form is:

97940 = 2² × 5¹ × 59¹ × 83¹

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 97940

List of positive integer factors of 97940 that divides 97920 without a remainder.

1, 2, 4, 5, 10, 20, 59, 83, 118, 166, 236, 295, 332, 415, 590, 830, 1180, 1660, 4897, 9794, 19588, 24485, 48970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97920 and 97940. The biggest common factor number is the GCF number.
So the greatest common factor 97920 and 97940 is 20.

Also check out the Least Common Multiple of 97920 and 97940