What is the Greatest Common Factor of 1617 and 1628?

Greatest common factor (GCF) of 1617 and 1628 is 11.

GCF(1617,1628) = 11

We will now calculate the prime factors of 1617 and 1628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1617 and 1628.

How to find the GCF of 1617 and 1628?

We will first find the prime factorization of 1617 and 1628. After we will calculate the factors of 1617 and 1628 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 1628

Prime factors of 1628 are 2, 11, 37. Prime factorization of 1628 in exponential form is:

1628 = 2² × 11¹ × 37¹

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 1628

List of positive integer factors of 1628 that divides 1617 without a remainder.

1, 2, 4, 11, 22, 37, 44, 74, 148, 407, 814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1617 and 1628. The biggest common factor number is the GCF number.
So the greatest common factor 1617 and 1628 is 11.

Also check out the Least Common Multiple of 1617 and 1628