What is the Greatest Common Factor of 9691 and 9702?

Greatest common factor (GCF) of 9691 and 9702 is 11.

GCF(9691,9702) = 11

We will now calculate the prime factors of 9691 and 9702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9691 and 9702.

How to find the GCF of 9691 and 9702?

We will first find the prime factorization of 9691 and 9702. After we will calculate the factors of 9691 and 9702 and find the biggest common factor number .

Step-1: Prime Factorization of 9691

Prime factors of 9691 are 11, 881. Prime factorization of 9691 in exponential form is:

9691 = 11¹ × 881¹

Step-2: Prime Factorization of 9702

Prime factors of 9702 are 2, 3, 7, 11. Prime factorization of 9702 in exponential form is:

9702 = 2¹ × 3² × 7² × 11¹

Step-3: Factors of 9691

List of positive integer factors of 9691 that divides 9691 without a remainder.

1, 11, 881

Step-4: Factors of 9702

List of positive integer factors of 9702 that divides 9691 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 49, 63, 66, 77, 98, 99, 126, 147, 154, 198, 231, 294, 441, 462, 539, 693, 882, 1078, 1386, 1617, 3234, 4851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9691 and 9702. The biggest common factor number is the GCF number.
So the greatest common factor 9691 and 9702 is 11.

Also check out the Least Common Multiple of 9691 and 9702