What is the Greatest Common Factor of 1591 and 1596?

Greatest common factor (GCF) of 1591 and 1596 is 1.

GCF(1591,1596) = 1

We will now calculate the prime factors of 1591 and 1596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1591 and 1596.

How to find the GCF of 1591 and 1596?

We will first find the prime factorization of 1591 and 1596. After we will calculate the factors of 1591 and 1596 and find the biggest common factor number .

Step-1: Prime Factorization of 1591

Prime factors of 1591 are 37, 43. Prime factorization of 1591 in exponential form is:

1591 = 37¹ × 43¹

Step-2: Prime Factorization of 1596

Prime factors of 1596 are 2, 3, 7, 19. Prime factorization of 1596 in exponential form is:

1596 = 2² × 3¹ × 7¹ × 19¹

Step-3: Factors of 1591

List of positive integer factors of 1591 that divides 1591 without a remainder.

1, 37, 43

Step-4: Factors of 1596

List of positive integer factors of 1596 that divides 1591 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 57, 76, 84, 114, 133, 228, 266, 399, 532, 798

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1591 and 1596. The biggest common factor number is the GCF number.
So the greatest common factor 1591 and 1596 is 1.

Also check out the Least Common Multiple of 1591 and 1596