What is the Greatest Common Factor of 66094 and 66108?

Greatest common factor (GCF) of 66094 and 66108 is 14.

GCF(66094,66108) = 14

We will now calculate the prime factors of 66094 and 66108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66094 and 66108.

How to find the GCF of 66094 and 66108?

We will first find the prime factorization of 66094 and 66108. After we will calculate the factors of 66094 and 66108 and find the biggest common factor number .

Step-1: Prime Factorization of 66094

Prime factors of 66094 are 2, 7, 4721. Prime factorization of 66094 in exponential form is:

66094 = 2¹ × 7¹ × 4721¹

Step-2: Prime Factorization of 66108

Prime factors of 66108 are 2, 3, 7, 787. Prime factorization of 66108 in exponential form is:

66108 = 2² × 3¹ × 7¹ × 787¹

Step-3: Factors of 66094

List of positive integer factors of 66094 that divides 66094 without a remainder.

1, 2, 7, 14, 4721, 9442, 33047

Step-4: Factors of 66108

List of positive integer factors of 66108 that divides 66094 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 787, 1574, 2361, 3148, 4722, 5509, 9444, 11018, 16527, 22036, 33054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66094 and 66108. The biggest common factor number is the GCF number.
So the greatest common factor 66094 and 66108 is 14.

Also check out the Least Common Multiple of 66094 and 66108