What is the Greatest Common Factor of 2603 and 2622?

Greatest common factor (GCF) of 2603 and 2622 is 19.

GCF(2603,2622) = 19

We will now calculate the prime factors of 2603 and 2622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2603 and 2622.

How to find the GCF of 2603 and 2622?

We will first find the prime factorization of 2603 and 2622. After we will calculate the factors of 2603 and 2622 and find the biggest common factor number .

Step-1: Prime Factorization of 2603

Prime factors of 2603 are 19, 137. Prime factorization of 2603 in exponential form is:

2603 = 19¹ × 137¹

Step-2: Prime Factorization of 2622

Prime factors of 2622 are 2, 3, 19, 23. Prime factorization of 2622 in exponential form is:

2622 = 2¹ × 3¹ × 19¹ × 23¹

Step-3: Factors of 2603

List of positive integer factors of 2603 that divides 2603 without a remainder.

1, 19, 137

Step-4: Factors of 2622

List of positive integer factors of 2622 that divides 2603 without a remainder.

1, 2, 3, 6, 19, 23, 38, 46, 57, 69, 114, 138, 437, 874, 1311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2603 and 2622. The biggest common factor number is the GCF number.
So the greatest common factor 2603 and 2622 is 19.

Also check out the Least Common Multiple of 2603 and 2622