What is the Greatest Common Factor of 1604 and 1612?

Greatest common factor (GCF) of 1604 and 1612 is 4.

GCF(1604,1612) = 4

We will now calculate the prime factors of 1604 and 1612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1604 and 1612.

How to find the GCF of 1604 and 1612?

We will first find the prime factorization of 1604 and 1612. After we will calculate the factors of 1604 and 1612 and find the biggest common factor number .

Step-1: Prime Factorization of 1604

Prime factors of 1604 are 2, 401. Prime factorization of 1604 in exponential form is:

1604 = 2² × 401¹

Step-2: Prime Factorization of 1612

Prime factors of 1612 are 2, 13, 31. Prime factorization of 1612 in exponential form is:

1612 = 2² × 13¹ × 31¹

Step-3: Factors of 1604

List of positive integer factors of 1604 that divides 1604 without a remainder.

1, 2, 4, 401, 802

Step-4: Factors of 1612

List of positive integer factors of 1612 that divides 1604 without a remainder.

1, 2, 4, 13, 26, 31, 52, 62, 124, 403, 806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1604 and 1612. The biggest common factor number is the GCF number.
So the greatest common factor 1604 and 1612 is 4.

Also check out the Least Common Multiple of 1604 and 1612