What is the Greatest Common Factor of 74022 and 74038?

Greatest common factor (GCF) of 74022 and 74038 is 2.

GCF(74022,74038) = 2

We will now calculate the prime factors of 74022 and 74038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74022 and 74038.

How to find the GCF of 74022 and 74038?

We will first find the prime factorization of 74022 and 74038. After we will calculate the factors of 74022 and 74038 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74038

Prime factors of 74038 are 2, 37019. Prime factorization of 74038 in exponential form is:

74038 = 2¹ × 37019¹

Step-3: Factors of 74022

List of positive integer factors of 74022 that divides 74022 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

Step-4: Factors of 74038

List of positive integer factors of 74038 that divides 74022 without a remainder.

1, 2, 37019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74022 and 74038. The biggest common factor number is the GCF number.
So the greatest common factor 74022 and 74038 is 2.

Also check out the Least Common Multiple of 74022 and 74038