What is the Greatest Common Factor of 66108 and 66122?

Greatest common factor (GCF) of 66108 and 66122 is 14.

GCF(66108,66122) = 14

We will now calculate the prime factors of 66108 and 66122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66108 and 66122.

How to find the GCF of 66108 and 66122?

We will first find the prime factorization of 66108 and 66122. After we will calculate the factors of 66108 and 66122 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66122

Prime factors of 66122 are 2, 7, 4723. Prime factorization of 66122 in exponential form is:

66122 = 2¹ × 7¹ × 4723¹

Step-3: Factors of 66108

List of positive integer factors of 66108 that divides 66108 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

Step-4: Factors of 66122

List of positive integer factors of 66122 that divides 66108 without a remainder.

1, 2, 7, 14, 4723, 9446, 33061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66108 and 66122. The biggest common factor number is the GCF number.
So the greatest common factor 66108 and 66122 is 14.

Also check out the Least Common Multiple of 66108 and 66122