What is the Greatest Common Factor of 9911 and 9920?

Greatest common factor (GCF) of 9911 and 9920 is 1.

GCF(9911,9920) = 1

We will now calculate the prime factors of 9911 and 9920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9911 and 9920.

How to find the GCF of 9911 and 9920?

We will first find the prime factorization of 9911 and 9920. After we will calculate the factors of 9911 and 9920 and find the biggest common factor number .

Step-1: Prime Factorization of 9911

Prime factors of 9911 are 11, 17, 53. Prime factorization of 9911 in exponential form is:

9911 = 11¹ × 17¹ × 53¹

Step-2: Prime Factorization of 9920

Prime factors of 9920 are 2, 5, 31. Prime factorization of 9920 in exponential form is:

9920 = 2⁶ × 5¹ × 31¹

Step-3: Factors of 9911

List of positive integer factors of 9911 that divides 9911 without a remainder.

1, 11, 17, 53, 187, 583, 901

Step-4: Factors of 9920

List of positive integer factors of 9920 that divides 9911 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 155, 160, 248, 310, 320, 496, 620, 992, 1240, 1984, 2480, 4960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9911 and 9920. The biggest common factor number is the GCF number.
So the greatest common factor 9911 and 9920 is 1.

Also check out the Least Common Multiple of 9911 and 9920