What is the Greatest Common Factor of 74028 and 74032?

Greatest common factor (GCF) of 74028 and 74032 is 4.

GCF(74028,74032) = 4

We will now calculate the prime factors of 74028 and 74032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74028 and 74032.

How to find the GCF of 74028 and 74032?

We will first find the prime factorization of 74028 and 74032. After we will calculate the factors of 74028 and 74032 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74032

Prime factors of 74032 are 2, 7, 661. Prime factorization of 74032 in exponential form is:

74032 = 2⁴ × 7¹ × 661¹

Step-3: Factors of 74028

List of positive integer factors of 74028 that divides 74028 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

Step-4: Factors of 74032

List of positive integer factors of 74032 that divides 74028 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 661, 1322, 2644, 4627, 5288, 9254, 10576, 18508, 37016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74028 and 74032. The biggest common factor number is the GCF number.
So the greatest common factor 74028 and 74032 is 4.

Also check out the Least Common Multiple of 74028 and 74032