What is the Greatest Common Factor of 33290 and 33299?

Greatest common factor (GCF) of 33290 and 33299 is 1.

GCF(33290,33299) = 1

We will now calculate the prime factors of 33290 and 33299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33290 and 33299.

How to find the GCF of 33290 and 33299?

We will first find the prime factorization of 33290 and 33299. After we will calculate the factors of 33290 and 33299 and find the biggest common factor number .

Step-1: Prime Factorization of 33290

Prime factors of 33290 are 2, 5, 3329. Prime factorization of 33290 in exponential form is:

33290 = 2¹ × 5¹ × 3329¹

Step-2: Prime Factorization of 33299

Prime factors of 33299 are 7, 67, 71. Prime factorization of 33299 in exponential form is:

33299 = 7¹ × 67¹ × 71¹

Step-3: Factors of 33290

List of positive integer factors of 33290 that divides 33290 without a remainder.

1, 2, 5, 10, 3329, 6658, 16645

Step-4: Factors of 33299

List of positive integer factors of 33299 that divides 33290 without a remainder.

1, 7, 67, 71, 469, 497, 4757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33290 and 33299. The biggest common factor number is the GCF number.
So the greatest common factor 33290 and 33299 is 1.

Also check out the Least Common Multiple of 33290 and 33299