What is the Greatest Common Factor of 1595 and 1606?

Greatest common factor (GCF) of 1595 and 1606 is 11.

GCF(1595,1606) = 11

We will now calculate the prime factors of 1595 and 1606, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1595 and 1606.

How to find the GCF of 1595 and 1606?

We will first find the prime factorization of 1595 and 1606. After we will calculate the factors of 1595 and 1606 and find the biggest common factor number .

Step-1: Prime Factorization of 1595

Prime factors of 1595 are 5, 11, 29. Prime factorization of 1595 in exponential form is:

1595 = 5¹ × 11¹ × 29¹

Step-2: Prime Factorization of 1606

Prime factors of 1606 are 2, 11, 73. Prime factorization of 1606 in exponential form is:

1606 = 2¹ × 11¹ × 73¹

Step-3: Factors of 1595

List of positive integer factors of 1595 that divides 1595 without a remainder.

1, 5, 11, 29, 55, 145, 319

Step-4: Factors of 1606

List of positive integer factors of 1606 that divides 1595 without a remainder.

1, 2, 11, 22, 73, 146, 803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1595 and 1606. The biggest common factor number is the GCF number.
So the greatest common factor 1595 and 1606 is 11.

Also check out the Least Common Multiple of 1595 and 1606