What is the Greatest Common Factor of 97909 and 97920?

Greatest common factor (GCF) of 97909 and 97920 is 1.

GCF(97909,97920) = 1

We will now calculate the prime factors of 97909 and 97920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97909 and 97920.

How to find the GCF of 97909 and 97920?

We will first find the prime factorization of 97909 and 97920. After we will calculate the factors of 97909 and 97920 and find the biggest common factor number .

Step-1: Prime Factorization of 97909

Prime factors of 97909 are 7, 71, 197. Prime factorization of 97909 in exponential form is:

97909 = 7¹ × 71¹ × 197¹

Step-2: 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-3: Factors of 97909

List of positive integer factors of 97909 that divides 97909 without a remainder.

1, 7, 71, 197, 497, 1379, 13987

Step-4: Factors of 97920

List of positive integer factors of 97920 that divides 97909 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97909 and 97920. The biggest common factor number is the GCF number.
So the greatest common factor 97909 and 97920 is 1.

Also check out the Least Common Multiple of 97909 and 97920