What is the Greatest Common Factor of 336 and 340?

Greatest common factor (GCF) of 336 and 340 is 4.

GCF(336,340) = 4

We will now calculate the prime factors of 336 and 340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 336 and 340.

How to find the GCF of 336 and 340?

We will first find the prime factorization of 336 and 340. After we will calculate the factors of 336 and 340 and find the biggest common factor number .

Step-1: Prime Factorization of 336

Prime factors of 336 are 2, 3, 7. Prime factorization of 336 in exponential form is:

336 = 2⁴ × 3¹ × 7¹

Step-2: Prime Factorization of 340

Prime factors of 340 are 2, 5, 17. Prime factorization of 340 in exponential form is:

340 = 2² × 5¹ × 17¹

Step-3: Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168

Step-4: Factors of 340

List of positive integer factors of 340 that divides 336 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 336 and 340. The biggest common factor number is the GCF number.
So the greatest common factor 336 and 340 is 4.

Also check out the Least Common Multiple of 336 and 340