What is the Greatest Common Factor of 3408 and 3412?

Greatest common factor (GCF) of 3408 and 3412 is 4.

GCF(3408,3412) = 4

We will now calculate the prime factors of 3408 and 3412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3408 and 3412.

How to find the GCF of 3408 and 3412?

We will first find the prime factorization of 3408 and 3412. After we will calculate the factors of 3408 and 3412 and find the biggest common factor number .

Step-1: Prime Factorization of 3408

Prime factors of 3408 are 2, 3, 71. Prime factorization of 3408 in exponential form is:

3408 = 2⁴ × 3¹ × 71¹

Step-2: Prime Factorization of 3412

Prime factors of 3412 are 2, 853. Prime factorization of 3412 in exponential form is:

3412 = 2² × 853¹

Step-3: Factors of 3408

List of positive integer factors of 3408 that divides 3408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 71, 142, 213, 284, 426, 568, 852, 1136, 1704

Step-4: Factors of 3412

List of positive integer factors of 3412 that divides 3408 without a remainder.

1, 2, 4, 853, 1706

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3408 and 3412. The biggest common factor number is the GCF number.
So the greatest common factor 3408 and 3412 is 4.

Also check out the Least Common Multiple of 3408 and 3412