What is the Greatest Common Factor of 33424 and 33428?

Greatest common factor (GCF) of 33424 and 33428 is 4.

GCF(33424,33428) = 4

We will now calculate the prime factors of 33424 and 33428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33424 and 33428.

How to find the GCF of 33424 and 33428?

We will first find the prime factorization of 33424 and 33428. After we will calculate the factors of 33424 and 33428 and find the biggest common factor number .

Step-1: Prime Factorization of 33424

Prime factors of 33424 are 2, 2089. Prime factorization of 33424 in exponential form is:

33424 = 2⁴ × 2089¹

Step-2: Prime Factorization of 33428

Prime factors of 33428 are 2, 61, 137. Prime factorization of 33428 in exponential form is:

33428 = 2² × 61¹ × 137¹

Step-3: Factors of 33424

List of positive integer factors of 33424 that divides 33424 without a remainder.

1, 2, 4, 8, 16, 2089, 4178, 8356, 16712

Step-4: Factors of 33428

List of positive integer factors of 33428 that divides 33424 without a remainder.

1, 2, 4, 61, 122, 137, 244, 274, 548, 8357, 16714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33424 and 33428. The biggest common factor number is the GCF number.
So the greatest common factor 33424 and 33428 is 4.

Also check out the Least Common Multiple of 33424 and 33428