What is the Greatest Common Factor of 1602 and 1620?

Greatest common factor (GCF) of 1602 and 1620 is 18.

GCF(1602,1620) = 18

We will now calculate the prime factors of 1602 and 1620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1602 and 1620.

How to find the GCF of 1602 and 1620?

We will first find the prime factorization of 1602 and 1620. After we will calculate the factors of 1602 and 1620 and find the biggest common factor number .

Step-1: Prime Factorization of 1602

Prime factors of 1602 are 2, 3, 89. Prime factorization of 1602 in exponential form is:

1602 = 2¹ × 3² × 89¹

Step-2: Prime Factorization of 1620

Prime factors of 1620 are 2, 3, 5. Prime factorization of 1620 in exponential form is:

1620 = 2² × 3⁴ × 5¹

Step-3: Factors of 1602

List of positive integer factors of 1602 that divides 1602 without a remainder.

1, 2, 3, 6, 9, 18, 89, 178, 267, 534, 801

Step-4: Factors of 1620

List of positive integer factors of 1620 that divides 1602 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1602 and 1620. The biggest common factor number is the GCF number.
So the greatest common factor 1602 and 1620 is 18.

Also check out the Least Common Multiple of 1602 and 1620