What is the Greatest Common Factor of 1616 and 1636?

Greatest common factor (GCF) of 1616 and 1636 is 4.

GCF(1616,1636) = 4

We will now calculate the prime factors of 1616 and 1636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1616 and 1636.

How to find the GCF of 1616 and 1636?

We will first find the prime factorization of 1616 and 1636. After we will calculate the factors of 1616 and 1636 and find the biggest common factor number .

Step-1: Prime Factorization of 1616

Prime factors of 1616 are 2, 101. Prime factorization of 1616 in exponential form is:

1616 = 2⁴ × 101¹

Step-2: Prime Factorization of 1636

Prime factors of 1636 are 2, 409. Prime factorization of 1636 in exponential form is:

1636 = 2² × 409¹

Step-3: Factors of 1616

List of positive integer factors of 1616 that divides 1616 without a remainder.

1, 2, 4, 8, 16, 101, 202, 404, 808

Step-4: Factors of 1636

List of positive integer factors of 1636 that divides 1616 without a remainder.

1, 2, 4, 409, 818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1616 and 1636. The biggest common factor number is the GCF number.
So the greatest common factor 1616 and 1636 is 4.

Also check out the Least Common Multiple of 1616 and 1636