What is the Greatest Common Factor of 9814 and 9821?

Greatest common factor (GCF) of 9814 and 9821 is 7.

GCF(9814,9821) = 7

We will now calculate the prime factors of 9814 and 9821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9814 and 9821.

How to find the GCF of 9814 and 9821?

We will first find the prime factorization of 9814 and 9821. After we will calculate the factors of 9814 and 9821 and find the biggest common factor number .

Step-1: Prime Factorization of 9814

Prime factors of 9814 are 2, 7, 701. Prime factorization of 9814 in exponential form is:

9814 = 2¹ × 7¹ × 701¹

Step-2: Prime Factorization of 9821

Prime factors of 9821 are 7, 23, 61. Prime factorization of 9821 in exponential form is:

9821 = 7¹ × 23¹ × 61¹

Step-3: Factors of 9814

List of positive integer factors of 9814 that divides 9814 without a remainder.

1, 2, 7, 14, 701, 1402, 4907

Step-4: Factors of 9821

List of positive integer factors of 9821 that divides 9814 without a remainder.

1, 7, 23, 61, 161, 427, 1403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9814 and 9821. The biggest common factor number is the GCF number.
So the greatest common factor 9814 and 9821 is 7.

Also check out the Least Common Multiple of 9814 and 9821