What is the Greatest Common Factor of 3360 and 3364?

Greatest common factor (GCF) of 3360 and 3364 is 4.

GCF(3360,3364) = 4

We will now calculate the prime factors of 3360 and 3364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3360 and 3364.

How to find the GCF of 3360 and 3364?

We will first find the prime factorization of 3360 and 3364. After we will calculate the factors of 3360 and 3364 and find the biggest common factor number .

Step-1: Prime Factorization of 3360

Prime factors of 3360 are 2, 3, 5, 7. Prime factorization of 3360 in exponential form is:

3360 = 2⁵ × 3¹ × 5¹ × 7¹

Step-2: Prime Factorization of 3364

Prime factors of 3364 are 2, 29. Prime factorization of 3364 in exponential form is:

3364 = 2² × 29²

Step-3: Factors of 3360

List of positive integer factors of 3360 that divides 3360 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 210, 224, 240, 280, 336, 420, 480, 560, 672, 840, 1120, 1680

Step-4: Factors of 3364

List of positive integer factors of 3364 that divides 3360 without a remainder.

1, 2, 4, 29, 58, 116, 841, 1682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3360 and 3364. The biggest common factor number is the GCF number.
So the greatest common factor 3360 and 3364 is 4.

Also check out the Least Common Multiple of 3360 and 3364