What is the Greatest Common Factor of 1617 and 1634?

Greatest common factor (GCF) of 1617 and 1634 is 1.

GCF(1617,1634) = 1

We will now calculate the prime factors of 1617 and 1634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1617 and 1634.

How to find the GCF of 1617 and 1634?

We will first find the prime factorization of 1617 and 1634. After we will calculate the factors of 1617 and 1634 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 1634

Prime factors of 1634 are 2, 19, 43. Prime factorization of 1634 in exponential form is:

1634 = 2¹ × 19¹ × 43¹

Step-3: Factors of 1617

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

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

Step-4: Factors of 1634

List of positive integer factors of 1634 that divides 1617 without a remainder.

1, 2, 19, 38, 43, 86, 817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1617 and 1634. The biggest common factor number is the GCF number.
So the greatest common factor 1617 and 1634 is 1.

Also check out the Least Common Multiple of 1617 and 1634