What is the Greatest Common Factor of 1603 and 1617?

Greatest common factor (GCF) of 1603 and 1617 is 7.

GCF(1603,1617) = 7

We will now calculate the prime factors of 1603 and 1617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1603 and 1617.

How to find the GCF of 1603 and 1617?

We will first find the prime factorization of 1603 and 1617. After we will calculate the factors of 1603 and 1617 and find the biggest common factor number .

Step-1: Prime Factorization of 1603

Prime factors of 1603 are 7, 229. Prime factorization of 1603 in exponential form is:

1603 = 7¹ × 229¹

Step-2: Prime Factorization of 1617

Prime factors of 1617 are 3, 7, 11. Prime factorization of 1617 in exponential form is:

1617 = 3¹ × 7² × 11¹

Step-3: Factors of 1603

List of positive integer factors of 1603 that divides 1603 without a remainder.

1, 7, 229

Step-4: Factors of 1617

List of positive integer factors of 1617 that divides 1603 without a remainder.

1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1603 and 1617. The biggest common factor number is the GCF number.
So the greatest common factor 1603 and 1617 is 7.

Also check out the Least Common Multiple of 1603 and 1617