What is the Greatest Common Factor of 1575 and 1583?

Greatest common factor (GCF) of 1575 and 1583 is 1.

GCF(1575,1583) = 1

We will now calculate the prime factors of 1575 and 1583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1575 and 1583.

How to find the GCF of 1575 and 1583?

We will first find the prime factorization of 1575 and 1583. After we will calculate the factors of 1575 and 1583 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 1583

Prime factors of 1583 are 1583. Prime factorization of 1583 in exponential form is:

1583 = 1583¹

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 1583

List of positive integer factors of 1583 that divides 1575 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1575 and 1583. The biggest common factor number is the GCF number.
So the greatest common factor 1575 and 1583 is 1.

Also check out the Least Common Multiple of 1575 and 1583