What is the Greatest Common Factor of 33458 and 33464?

Greatest common factor (GCF) of 33458 and 33464 is 2.

GCF(33458,33464) = 2

We will now calculate the prime factors of 33458 and 33464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33458 and 33464.

How to find the GCF of 33458 and 33464?

We will first find the prime factorization of 33458 and 33464. After we will calculate the factors of 33458 and 33464 and find the biggest common factor number .

Step-1: Prime Factorization of 33458

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

33458 = 2¹ × 16729¹

Step-2: Prime Factorization of 33464

Prime factors of 33464 are 2, 47, 89. Prime factorization of 33464 in exponential form is:

33464 = 2³ × 47¹ × 89¹

Step-3: Factors of 33458

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

1, 2, 16729

Step-4: Factors of 33464

List of positive integer factors of 33464 that divides 33458 without a remainder.

1, 2, 4, 8, 47, 89, 94, 178, 188, 356, 376, 712, 4183, 8366, 16732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33458 and 33464. The biggest common factor number is the GCF number.
So the greatest common factor 33458 and 33464 is 2.

Also check out the Least Common Multiple of 33458 and 33464