What is the Greatest Common Factor of 74018 and 74026?

Greatest common factor (GCF) of 74018 and 74026 is 2.

GCF(74018,74026) = 2

We will now calculate the prime factors of 74018 and 74026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74018 and 74026.

How to find the GCF of 74018 and 74026?

We will first find the prime factorization of 74018 and 74026. After we will calculate the factors of 74018 and 74026 and find the biggest common factor number .

Step-1: Prime Factorization of 74018

Prime factors of 74018 are 2, 7, 17, 311. Prime factorization of 74018 in exponential form is:

74018 = 2¹ × 7¹ × 17¹ × 311¹

Step-2: Prime Factorization of 74026

Prime factors of 74026 are 2, 37013. Prime factorization of 74026 in exponential form is:

74026 = 2¹ × 37013¹

Step-3: Factors of 74018

List of positive integer factors of 74018 that divides 74018 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 311, 622, 2177, 4354, 5287, 10574, 37009

Step-4: Factors of 74026

List of positive integer factors of 74026 that divides 74018 without a remainder.

1, 2, 37013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74018 and 74026. The biggest common factor number is the GCF number.
So the greatest common factor 74018 and 74026 is 2.

Also check out the Least Common Multiple of 74018 and 74026