What is the Greatest Common Factor of 9702 and 9722?

Greatest common factor (GCF) of 9702 and 9722 is 2.

GCF(9702,9722) = 2

We will now calculate the prime factors of 9702 and 9722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9702 and 9722.

How to find the GCF of 9702 and 9722?

We will first find the prime factorization of 9702 and 9722. After we will calculate the factors of 9702 and 9722 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9722

Prime factors of 9722 are 2, 4861. Prime factorization of 9722 in exponential form is:

9722 = 2¹ × 4861¹

Step-3: Factors of 9702

List of positive integer factors of 9702 that divides 9702 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

Step-4: Factors of 9722

List of positive integer factors of 9722 that divides 9702 without a remainder.

1, 2, 4861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9702 and 9722. The biggest common factor number is the GCF number.
So the greatest common factor 9702 and 9722 is 2.

Also check out the Least Common Multiple of 9702 and 9722