What is the Greatest Common Factor of 1596 and 1615?

Greatest common factor (GCF) of 1596 and 1615 is 19.

GCF(1596,1615) = 19

We will now calculate the prime factors of 1596 and 1615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1596 and 1615.

How to find the GCF of 1596 and 1615?

We will first find the prime factorization of 1596 and 1615. After we will calculate the factors of 1596 and 1615 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 1615

Prime factors of 1615 are 5, 17, 19. Prime factorization of 1615 in exponential form is:

1615 = 5¹ × 17¹ × 19¹

Step-3: Factors of 1596

List of positive integer factors of 1596 that divides 1596 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

Step-4: Factors of 1615

List of positive integer factors of 1615 that divides 1596 without a remainder.

1, 5, 17, 19, 85, 95, 323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1596 and 1615. The biggest common factor number is the GCF number.
So the greatest common factor 1596 and 1615 is 19.

Also check out the Least Common Multiple of 1596 and 1615