What is the Greatest Common Factor of 1575 and 1587?

Greatest common factor (GCF) of 1575 and 1587 is 3.

GCF(1575,1587) = 3

We will now calculate the prime factors of 1575 and 1587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1575 and 1587.

How to find the GCF of 1575 and 1587?

We will first find the prime factorization of 1575 and 1587. After we will calculate the factors of 1575 and 1587 and find the biggest common factor number .

Step-1: Prime Factorization of 1575

Prime factors of 1575 are 3, 5, 7. Prime factorization of 1575 in exponential form is:

1575 = 3² × 5² × 7¹

Step-2: Prime Factorization of 1587

Prime factors of 1587 are 3, 23. Prime factorization of 1587 in exponential form is:

1587 = 3¹ × 23²

Step-3: Factors of 1575

List of positive integer factors of 1575 that divides 1575 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525

Step-4: Factors of 1587

List of positive integer factors of 1587 that divides 1575 without a remainder.

1, 3, 23, 69, 529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1575 and 1587. The biggest common factor number is the GCF number.
So the greatest common factor 1575 and 1587 is 3.

Also check out the Least Common Multiple of 1575 and 1587