What is the Greatest Common Factor of 7619 and 7638?

Greatest common factor (GCF) of 7619 and 7638 is 19.

GCF(7619,7638) = 19

We will now calculate the prime factors of 7619 and 7638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7619 and 7638.

How to find the GCF of 7619 and 7638?

We will first find the prime factorization of 7619 and 7638. After we will calculate the factors of 7619 and 7638 and find the biggest common factor number .

Step-1: Prime Factorization of 7619

Prime factors of 7619 are 19, 401. Prime factorization of 7619 in exponential form is:

7619 = 19¹ × 401¹

Step-2: Prime Factorization of 7638

Prime factors of 7638 are 2, 3, 19, 67. Prime factorization of 7638 in exponential form is:

7638 = 2¹ × 3¹ × 19¹ × 67¹

Step-3: Factors of 7619

List of positive integer factors of 7619 that divides 7619 without a remainder.

1, 19, 401

Step-4: Factors of 7638

List of positive integer factors of 7638 that divides 7619 without a remainder.

1, 2, 3, 6, 19, 38, 57, 67, 114, 134, 201, 402, 1273, 2546, 3819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7619 and 7638. The biggest common factor number is the GCF number.
So the greatest common factor 7619 and 7638 is 19.

Also check out the Least Common Multiple of 7619 and 7638