What is the Greatest Common Factor of 9685 and 9690?

Greatest common factor (GCF) of 9685 and 9690 is 5.

GCF(9685,9690) = 5

We will now calculate the prime factors of 9685 and 9690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9685 and 9690.

How to find the GCF of 9685 and 9690?

We will first find the prime factorization of 9685 and 9690. After we will calculate the factors of 9685 and 9690 and find the biggest common factor number .

Step-1: Prime Factorization of 9685

Prime factors of 9685 are 5, 13, 149. Prime factorization of 9685 in exponential form is:

9685 = 5¹ × 13¹ × 149¹

Step-2: Prime Factorization of 9690

Prime factors of 9690 are 2, 3, 5, 17, 19. Prime factorization of 9690 in exponential form is:

9690 = 2¹ × 3¹ × 5¹ × 17¹ × 19¹

Step-3: Factors of 9685

List of positive integer factors of 9685 that divides 9685 without a remainder.

1, 5, 13, 65, 149, 745, 1937

Step-4: Factors of 9690

List of positive integer factors of 9690 that divides 9685 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 19, 30, 34, 38, 51, 57, 85, 95, 102, 114, 170, 190, 255, 285, 323, 510, 570, 646, 969, 1615, 1938, 3230, 4845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9685 and 9690. The biggest common factor number is the GCF number.
So the greatest common factor 9685 and 9690 is 5.

Also check out the Least Common Multiple of 9685 and 9690