What is the Greatest Common Factor of 9774 and 9785?

Greatest common factor (GCF) of 9774 and 9785 is 1.

GCF(9774,9785) = 1

We will now calculate the prime factors of 9774 and 9785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9774 and 9785.

How to find the GCF of 9774 and 9785?

We will first find the prime factorization of 9774 and 9785. After we will calculate the factors of 9774 and 9785 and find the biggest common factor number .

Step-1: Prime Factorization of 9774

Prime factors of 9774 are 2, 3, 181. Prime factorization of 9774 in exponential form is:

9774 = 2¹ × 3³ × 181¹

Step-2: Prime Factorization of 9785

Prime factors of 9785 are 5, 19, 103. Prime factorization of 9785 in exponential form is:

9785 = 5¹ × 19¹ × 103¹

Step-3: Factors of 9774

List of positive integer factors of 9774 that divides 9774 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 181, 362, 543, 1086, 1629, 3258, 4887

Step-4: Factors of 9785

List of positive integer factors of 9785 that divides 9774 without a remainder.

1, 5, 19, 95, 103, 515, 1957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9774 and 9785. The biggest common factor number is the GCF number.
So the greatest common factor 9774 and 9785 is 1.

Also check out the Least Common Multiple of 9774 and 9785