What is the Greatest Common Factor of 33054 and 33068?

Greatest common factor (GCF) of 33054 and 33068 is 14.

GCF(33054,33068) = 14

We will now calculate the prime factors of 33054 and 33068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33054 and 33068.

How to find the GCF of 33054 and 33068?

We will first find the prime factorization of 33054 and 33068. After we will calculate the factors of 33054 and 33068 and find the biggest common factor number .

Step-1: Prime Factorization of 33054

Prime factors of 33054 are 2, 3, 7, 787. Prime factorization of 33054 in exponential form is:

33054 = 2¹ × 3¹ × 7¹ × 787¹

Step-2: Prime Factorization of 33068

Prime factors of 33068 are 2, 7, 1181. Prime factorization of 33068 in exponential form is:

33068 = 2² × 7¹ × 1181¹

Step-3: Factors of 33054

List of positive integer factors of 33054 that divides 33054 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 787, 1574, 2361, 4722, 5509, 11018, 16527

Step-4: Factors of 33068

List of positive integer factors of 33068 that divides 33054 without a remainder.

1, 2, 4, 7, 14, 28, 1181, 2362, 4724, 8267, 16534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33054 and 33068. The biggest common factor number is the GCF number.
So the greatest common factor 33054 and 33068 is 14.

Also check out the Least Common Multiple of 33054 and 33068