What is the Greatest Common Factor of 33259 and 33274?

Greatest common factor (GCF) of 33259 and 33274 is 1.

GCF(33259,33274) = 1

We will now calculate the prime factors of 33259 and 33274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33259 and 33274.

How to find the GCF of 33259 and 33274?

We will first find the prime factorization of 33259 and 33274. After we will calculate the factors of 33259 and 33274 and find the biggest common factor number .

Step-1: Prime Factorization of 33259

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

33259 = 79¹ × 421¹

Step-2: Prime Factorization of 33274

Prime factors of 33274 are 2, 127, 131. Prime factorization of 33274 in exponential form is:

33274 = 2¹ × 127¹ × 131¹

Step-3: Factors of 33259

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

1, 79, 421

Step-4: Factors of 33274

List of positive integer factors of 33274 that divides 33259 without a remainder.

1, 2, 127, 131, 254, 262, 16637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33259 and 33274. The biggest common factor number is the GCF number.
So the greatest common factor 33259 and 33274 is 1.

Also check out the Least Common Multiple of 33259 and 33274