What is the Greatest Common Factor of 74009 and 74028?

Greatest common factor (GCF) of 74009 and 74028 is 1.

GCF(74009,74028) = 1

We will now calculate the prime factors of 74009 and 74028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74009 and 74028.

How to find the GCF of 74009 and 74028?

We will first find the prime factorization of 74009 and 74028. After we will calculate the factors of 74009 and 74028 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 74028

Prime factors of 74028 are 2, 3, 31, 199. Prime factorization of 74028 in exponential form is:

74028 = 2² × 3¹ × 31¹ × 199¹

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 74028

List of positive integer factors of 74028 that divides 74009 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 199, 372, 398, 597, 796, 1194, 2388, 6169, 12338, 18507, 24676, 37014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74009 and 74028. The biggest common factor number is the GCF number.
So the greatest common factor 74009 and 74028 is 1.

Also check out the Least Common Multiple of 74009 and 74028