What is the Greatest Common Factor of 33240 and 33259?

Greatest common factor (GCF) of 33240 and 33259 is 1.

GCF(33240,33259) = 1

We will now calculate the prime factors of 33240 and 33259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33240 and 33259.

How to find the GCF of 33240 and 33259?

We will first find the prime factorization of 33240 and 33259. After we will calculate the factors of 33240 and 33259 and find the biggest common factor number .

Step-1: Prime Factorization of 33240

Prime factors of 33240 are 2, 3, 5, 277. Prime factorization of 33240 in exponential form is:

33240 = 2³ × 3¹ × 5¹ × 277¹

Step-2: Prime Factorization of 33259

Prime factors of 33259 are 79, 421. Prime factorization of 33259 in exponential form is:

33259 = 79¹ × 421¹

Step-3: Factors of 33240

List of positive integer factors of 33240 that divides 33240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 277, 554, 831, 1108, 1385, 1662, 2216, 2770, 3324, 4155, 5540, 6648, 8310, 11080, 16620

Step-4: Factors of 33259

List of positive integer factors of 33259 that divides 33240 without a remainder.

1, 79, 421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33240 and 33259. The biggest common factor number is the GCF number.
So the greatest common factor 33240 and 33259 is 1.

Also check out the Least Common Multiple of 33240 and 33259