What is the Greatest Common Factor of 33575 and 33592?

Greatest common factor (GCF) of 33575 and 33592 is 17.

GCF(33575,33592) = 17

We will now calculate the prime factors of 33575 and 33592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33575 and 33592.

How to find the GCF of 33575 and 33592?

We will first find the prime factorization of 33575 and 33592. After we will calculate the factors of 33575 and 33592 and find the biggest common factor number .

Step-1: Prime Factorization of 33575

Prime factors of 33575 are 5, 17, 79. Prime factorization of 33575 in exponential form is:

33575 = 5² × 17¹ × 79¹

Step-2: Prime Factorization of 33592

Prime factors of 33592 are 2, 13, 17, 19. Prime factorization of 33592 in exponential form is:

33592 = 2³ × 13¹ × 17¹ × 19¹

Step-3: Factors of 33575

List of positive integer factors of 33575 that divides 33575 without a remainder.

1, 5, 17, 25, 79, 85, 395, 425, 1343, 1975, 6715

Step-4: Factors of 33592

List of positive integer factors of 33592 that divides 33575 without a remainder.

1, 2, 4, 8, 13, 17, 19, 26, 34, 38, 52, 68, 76, 104, 136, 152, 221, 247, 323, 442, 494, 646, 884, 988, 1292, 1768, 1976, 2584, 4199, 8398, 16796

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33575 and 33592. The biggest common factor number is the GCF number.
So the greatest common factor 33575 and 33592 is 17.

Also check out the Least Common Multiple of 33575 and 33592