What is the Greatest Common Factor of 1575 and 1579?

Greatest common factor (GCF) of 1575 and 1579 is 1.

GCF(1575,1579) = 1

We will now calculate the prime factors of 1575 and 1579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1575 and 1579.

How to find the GCF of 1575 and 1579?

We will first find the prime factorization of 1575 and 1579. After we will calculate the factors of 1575 and 1579 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 1579

Prime factors of 1579 are 1579. Prime factorization of 1579 in exponential form is:

1579 = 1579¹

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 1579

List of positive integer factors of 1579 that divides 1575 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1575 and 1579. The biggest common factor number is the GCF number.
So the greatest common factor 1575 and 1579 is 1.

Also check out the Least Common Multiple of 1575 and 1579