What is the Greatest Common Factor of 9640 and 9646?

Greatest common factor (GCF) of 9640 and 9646 is 2.

GCF(9640,9646) = 2

We will now calculate the prime factors of 9640 and 9646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9640 and 9646.

How to find the GCF of 9640 and 9646?

We will first find the prime factorization of 9640 and 9646. After we will calculate the factors of 9640 and 9646 and find the biggest common factor number .

Step-1: Prime Factorization of 9640

Prime factors of 9640 are 2, 5, 241. Prime factorization of 9640 in exponential form is:

9640 = 2³ × 5¹ × 241¹

Step-2: Prime Factorization of 9646

Prime factors of 9646 are 2, 7, 13, 53. Prime factorization of 9646 in exponential form is:

9646 = 2¹ × 7¹ × 13¹ × 53¹

Step-3: Factors of 9640

List of positive integer factors of 9640 that divides 9640 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 241, 482, 964, 1205, 1928, 2410, 4820

Step-4: Factors of 9646

List of positive integer factors of 9646 that divides 9640 without a remainder.

1, 2, 7, 13, 14, 26, 53, 91, 106, 182, 371, 689, 742, 1378, 4823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9640 and 9646. The biggest common factor number is the GCF number.
So the greatest common factor 9640 and 9646 is 2.

Also check out the Least Common Multiple of 9640 and 9646