What is the Greatest Common Factor of 9674 and 9688?

Greatest common factor (GCF) of 9674 and 9688 is 14.

GCF(9674,9688) = 14

We will now calculate the prime factors of 9674 and 9688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9674 and 9688.

How to find the GCF of 9674 and 9688?

We will first find the prime factorization of 9674 and 9688. After we will calculate the factors of 9674 and 9688 and find the biggest common factor number .

Step-1: Prime Factorization of 9674

Prime factors of 9674 are 2, 7, 691. Prime factorization of 9674 in exponential form is:

9674 = 2¹ × 7¹ × 691¹

Step-2: Prime Factorization of 9688

Prime factors of 9688 are 2, 7, 173. Prime factorization of 9688 in exponential form is:

9688 = 2³ × 7¹ × 173¹

Step-3: Factors of 9674

List of positive integer factors of 9674 that divides 9674 without a remainder.

1, 2, 7, 14, 691, 1382, 4837

Step-4: Factors of 9688

List of positive integer factors of 9688 that divides 9674 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 173, 346, 692, 1211, 1384, 2422, 4844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9674 and 9688. The biggest common factor number is the GCF number.
So the greatest common factor 9674 and 9688 is 14.

Also check out the Least Common Multiple of 9674 and 9688