What is the Greatest Common Factor of 10674 and 10688?

Greatest common factor (GCF) of 10674 and 10688 is 2.

GCF(10674,10688) = 2

We will now calculate the prime factors of 10674 and 10688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10674 and 10688.

How to find the GCF of 10674 and 10688?

We will first find the prime factorization of 10674 and 10688. After we will calculate the factors of 10674 and 10688 and find the biggest common factor number .

Step-1: Prime Factorization of 10674

Prime factors of 10674 are 2, 3, 593. Prime factorization of 10674 in exponential form is:

10674 = 2¹ × 3² × 593¹

Step-2: Prime Factorization of 10688

Prime factors of 10688 are 2, 167. Prime factorization of 10688 in exponential form is:

10688 = 2⁶ × 167¹

Step-3: Factors of 10674

List of positive integer factors of 10674 that divides 10674 without a remainder.

1, 2, 3, 6, 9, 18, 593, 1186, 1779, 3558, 5337

Step-4: Factors of 10688

List of positive integer factors of 10688 that divides 10674 without a remainder.

1, 2, 4, 8, 16, 32, 64, 167, 334, 668, 1336, 2672, 5344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10674 and 10688. The biggest common factor number is the GCF number.
So the greatest common factor 10674 and 10688 is 2.

Also check out the Least Common Multiple of 10674 and 10688