What is the Greatest Common Factor of 9775 and 9792?

Greatest common factor (GCF) of 9775 and 9792 is 17.

GCF(9775,9792) = 17

We will now calculate the prime factors of 9775 and 9792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9775 and 9792.

How to find the GCF of 9775 and 9792?

We will first find the prime factorization of 9775 and 9792. After we will calculate the factors of 9775 and 9792 and find the biggest common factor number .

Step-1: Prime Factorization of 9775

Prime factors of 9775 are 5, 17, 23. Prime factorization of 9775 in exponential form is:

9775 = 5² × 17¹ × 23¹

Step-2: Prime Factorization of 9792

Prime factors of 9792 are 2, 3, 17. Prime factorization of 9792 in exponential form is:

9792 = 2⁶ × 3² × 17¹

Step-3: Factors of 9775

List of positive integer factors of 9775 that divides 9775 without a remainder.

1, 5, 17, 23, 25, 85, 115, 391, 425, 575, 1955

Step-4: Factors of 9792

List of positive integer factors of 9792 that divides 9775 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 64, 68, 72, 96, 102, 136, 144, 153, 192, 204, 272, 288, 306, 408, 544, 576, 612, 816, 1088, 1224, 1632, 2448, 3264, 4896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9775 and 9792. The biggest common factor number is the GCF number.
So the greatest common factor 9775 and 9792 is 17.

Also check out the Least Common Multiple of 9775 and 9792