What is the Greatest Common Factor of 74022 and 74027?

Greatest common factor (GCF) of 74022 and 74027 is 1.

GCF(74022,74027) = 1

We will now calculate the prime factors of 74022 and 74027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74022 and 74027.

How to find the GCF of 74022 and 74027?

We will first find the prime factorization of 74022 and 74027. After we will calculate the factors of 74022 and 74027 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 74027

Prime factors of 74027 are 74027. Prime factorization of 74027 in exponential form is:

74027 = 74027¹

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 74027

List of positive integer factors of 74027 that divides 74022 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74022 and 74027. The biggest common factor number is the GCF number.
So the greatest common factor 74022 and 74027 is 1.

Also check out the Least Common Multiple of 74022 and 74027