What is the Greatest Common Factor of 74009 and 74022?

Greatest common factor (GCF) of 74009 and 74022 is 13.

GCF(74009,74022) = 13

We will now calculate the prime factors of 74009 and 74022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74009 and 74022.

How to find the GCF of 74009 and 74022?

We will first find the prime factorization of 74009 and 74022. After we will calculate the factors of 74009 and 74022 and find the biggest common factor number .

Step-1: Prime Factorization of 74009

Prime factors of 74009 are 13, 5693. Prime factorization of 74009 in exponential form is:

74009 = 13¹ × 5693¹

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 74009

List of positive integer factors of 74009 that divides 74009 without a remainder.

1, 13, 5693

Step-4: Factors of 74022

List of positive integer factors of 74022 that divides 74009 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 74009 and 74022. The biggest common factor number is the GCF number.
So the greatest common factor 74009 and 74022 is 13.

Also check out the Least Common Multiple of 74009 and 74022