What is the Greatest Common Factor of 10680 and 10684?

Greatest common factor (GCF) of 10680 and 10684 is 4.

GCF(10680,10684) = 4

We will now calculate the prime factors of 10680 and 10684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10680 and 10684.

How to find the GCF of 10680 and 10684?

We will first find the prime factorization of 10680 and 10684. After we will calculate the factors of 10680 and 10684 and find the biggest common factor number .

Step-1: Prime Factorization of 10680

Prime factors of 10680 are 2, 3, 5, 89. Prime factorization of 10680 in exponential form is:

10680 = 2³ × 3¹ × 5¹ × 89¹

Step-2: Prime Factorization of 10684

Prime factors of 10684 are 2, 2671. Prime factorization of 10684 in exponential form is:

10684 = 2² × 2671¹

Step-3: Factors of 10680

List of positive integer factors of 10680 that divides 10680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 89, 120, 178, 267, 356, 445, 534, 712, 890, 1068, 1335, 1780, 2136, 2670, 3560, 5340

Step-4: Factors of 10684

List of positive integer factors of 10684 that divides 10680 without a remainder.

1, 2, 4, 2671, 5342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10680 and 10684. The biggest common factor number is the GCF number.
So the greatest common factor 10680 and 10684 is 4.

Also check out the Least Common Multiple of 10680 and 10684