What is the Greatest Common Factor of 33450 and 33458?

Greatest common factor (GCF) of 33450 and 33458 is 2.

GCF(33450,33458) = 2

We will now calculate the prime factors of 33450 and 33458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33450 and 33458.

How to find the GCF of 33450 and 33458?

We will first find the prime factorization of 33450 and 33458. After we will calculate the factors of 33450 and 33458 and find the biggest common factor number .

Step-1: Prime Factorization of 33450

Prime factors of 33450 are 2, 3, 5, 223. Prime factorization of 33450 in exponential form is:

33450 = 2¹ × 3¹ × 5² × 223¹

Step-2: Prime Factorization of 33458

Prime factors of 33458 are 2, 16729. Prime factorization of 33458 in exponential form is:

33458 = 2¹ × 16729¹

Step-3: Factors of 33450

List of positive integer factors of 33450 that divides 33450 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 223, 446, 669, 1115, 1338, 2230, 3345, 5575, 6690, 11150, 16725

Step-4: Factors of 33458

List of positive integer factors of 33458 that divides 33450 without a remainder.

1, 2, 16729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33450 and 33458. The biggest common factor number is the GCF number.
So the greatest common factor 33450 and 33458 is 2.

Also check out the Least Common Multiple of 33450 and 33458