What is the Greatest Common Factor of 1619 and 1638?

Greatest common factor (GCF) of 1619 and 1638 is 1.

GCF(1619,1638) = 1

We will now calculate the prime factors of 1619 and 1638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1619 and 1638.

How to find the GCF of 1619 and 1638?

We will first find the prime factorization of 1619 and 1638. After we will calculate the factors of 1619 and 1638 and find the biggest common factor number .

Step-1: Prime Factorization of 1619

Prime factors of 1619 are 1619. Prime factorization of 1619 in exponential form is:

1619 = 1619¹

Step-2: Prime Factorization of 1638

Prime factors of 1638 are 2, 3, 7, 13. Prime factorization of 1638 in exponential form is:

1638 = 2¹ × 3² × 7¹ × 13¹

Step-3: Factors of 1619

List of positive integer factors of 1619 that divides 1619 without a remainder.

Step-4: Factors of 1638

List of positive integer factors of 1638 that divides 1619 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 63, 78, 91, 117, 126, 182, 234, 273, 546, 819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1619 and 1638. The biggest common factor number is the GCF number.
So the greatest common factor 1619 and 1638 is 1.

Also check out the Least Common Multiple of 1619 and 1638