What is the Greatest Common Factor of 74106 and 74118?

Greatest common factor (GCF) of 74106 and 74118 is 6.

GCF(74106,74118) = 6

We will now calculate the prime factors of 74106 and 74118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74106 and 74118.

How to find the GCF of 74106 and 74118?

We will first find the prime factorization of 74106 and 74118. After we will calculate the factors of 74106 and 74118 and find the biggest common factor number .

Step-1: Prime Factorization of 74106

Prime factors of 74106 are 2, 3, 23, 179. Prime factorization of 74106 in exponential form is:

74106 = 2¹ × 3² × 23¹ × 179¹

Step-2: Prime Factorization of 74118

Prime factors of 74118 are 2, 3, 11, 1123. Prime factorization of 74118 in exponential form is:

74118 = 2¹ × 3¹ × 11¹ × 1123¹

Step-3: Factors of 74106

List of positive integer factors of 74106 that divides 74106 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 179, 207, 358, 414, 537, 1074, 1611, 3222, 4117, 8234, 12351, 24702, 37053

Step-4: Factors of 74118

List of positive integer factors of 74118 that divides 74106 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1123, 2246, 3369, 6738, 12353, 24706, 37059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74106 and 74118. The biggest common factor number is the GCF number.
So the greatest common factor 74106 and 74118 is 6.

Also check out the Least Common Multiple of 74106 and 74118