What is the Greatest Common Factor of 74014 and 74022?

Greatest common factor (GCF) of 74014 and 74022 is 2.

GCF(74014,74022) = 2

We will now calculate the prime factors of 74014 and 74022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74014 and 74022.

How to find the GCF of 74014 and 74022?

We will first find the prime factorization of 74014 and 74022. After we will calculate the factors of 74014 and 74022 and find the biggest common factor number .

Step-1: Prime Factorization of 74014

Prime factors of 74014 are 2, 23, 1609. Prime factorization of 74014 in exponential form is:

74014 = 2¹ × 23¹ × 1609¹

Step-2: Prime Factorization of 74022

Prime factors of 74022 are 2, 3, 13, 73. Prime factorization of 74022 in exponential form is:

74022 = 2¹ × 3¹ × 13² × 73¹

Step-3: Factors of 74014

List of positive integer factors of 74014 that divides 74014 without a remainder.

1, 2, 23, 46, 1609, 3218, 37007

Step-4: Factors of 74022

List of positive integer factors of 74022 that divides 74014 without a remainder.

1, 2, 3, 6, 13, 26, 39, 73, 78, 146, 169, 219, 338, 438, 507, 949, 1014, 1898, 2847, 5694, 12337, 24674, 37011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74014 and 74022. The biggest common factor number is the GCF number.
So the greatest common factor 74014 and 74022 is 2.

Also check out the Least Common Multiple of 74014 and 74022