What is the Greatest Common Factor of 1617 and 1631?

Greatest common factor (GCF) of 1617 and 1631 is 7.

GCF(1617,1631) = 7

We will now calculate the prime factors of 1617 and 1631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1617 and 1631.

How to find the GCF of 1617 and 1631?

We will first find the prime factorization of 1617 and 1631. After we will calculate the factors of 1617 and 1631 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 1631

Prime factors of 1631 are 7, 233. Prime factorization of 1631 in exponential form is:

1631 = 7¹ × 233¹

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 1631

List of positive integer factors of 1631 that divides 1617 without a remainder.

1, 7, 233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1617 and 1631. The biggest common factor number is the GCF number.
So the greatest common factor 1617 and 1631 is 7.

Also check out the Least Common Multiple of 1617 and 1631