What is the Greatest Common Factor of 33575 and 33580?

Greatest common factor (GCF) of 33575 and 33580 is 5.

GCF(33575,33580) = 5

We will now calculate the prime factors of 33575 and 33580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33575 and 33580.

How to find the GCF of 33575 and 33580?

We will first find the prime factorization of 33575 and 33580. After we will calculate the factors of 33575 and 33580 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 33580

Prime factors of 33580 are 2, 5, 23, 73. Prime factorization of 33580 in exponential form is:

33580 = 2² × 5¹ × 23¹ × 73¹

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 33580

List of positive integer factors of 33580 that divides 33575 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 73, 92, 115, 146, 230, 292, 365, 460, 730, 1460, 1679, 3358, 6716, 8395, 16790

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33575 and 33580. The biggest common factor number is the GCF number.
So the greatest common factor 33575 and 33580 is 5.

Also check out the Least Common Multiple of 33575 and 33580