What is the Greatest Common Factor of 33964 and 33968?

Greatest common factor (GCF) of 33964 and 33968 is 4.

GCF(33964,33968) = 4

We will now calculate the prime factors of 33964 and 33968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33964 and 33968.

How to find the GCF of 33964 and 33968?

We will first find the prime factorization of 33964 and 33968. After we will calculate the factors of 33964 and 33968 and find the biggest common factor number .

Step-1: Prime Factorization of 33964

Prime factors of 33964 are 2, 7, 1213. Prime factorization of 33964 in exponential form is:

33964 = 2² × 7¹ × 1213¹

Step-2: Prime Factorization of 33968

Prime factors of 33968 are 2, 11, 193. Prime factorization of 33968 in exponential form is:

33968 = 2⁴ × 11¹ × 193¹

Step-3: Factors of 33964

List of positive integer factors of 33964 that divides 33964 without a remainder.

1, 2, 4, 7, 14, 28, 1213, 2426, 4852, 8491, 16982

Step-4: Factors of 33968

List of positive integer factors of 33968 that divides 33964 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 193, 386, 772, 1544, 2123, 3088, 4246, 8492, 16984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33964 and 33968. The biggest common factor number is the GCF number.
So the greatest common factor 33964 and 33968 is 4.

Also check out the Least Common Multiple of 33964 and 33968