What is the Greatest Common Factor of 1575 and 1595?

Greatest common factor (GCF) of 1575 and 1595 is 5.

GCF(1575,1595) = 5

We will now calculate the prime factors of 1575 and 1595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1575 and 1595.

How to find the GCF of 1575 and 1595?

We will first find the prime factorization of 1575 and 1595. After we will calculate the factors of 1575 and 1595 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 1595

Prime factors of 1595 are 5, 11, 29. Prime factorization of 1595 in exponential form is:

1595 = 5¹ × 11¹ × 29¹

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 1595

List of positive integer factors of 1595 that divides 1575 without a remainder.

1, 5, 11, 29, 55, 145, 319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1575 and 1595. The biggest common factor number is the GCF number.
So the greatest common factor 1575 and 1595 is 5.

Also check out the Least Common Multiple of 1575 and 1595