What is the Greatest Common Factor of 74184 and 74189?

Greatest common factor (GCF) of 74184 and 74189 is 1.

GCF(74184,74189) = 1

We will now calculate the prime factors of 74184 and 74189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74184 and 74189.

How to find the GCF of 74184 and 74189?

We will first find the prime factorization of 74184 and 74189. After we will calculate the factors of 74184 and 74189 and find the biggest common factor number .

Step-1: Prime Factorization of 74184

Prime factors of 74184 are 2, 3, 11, 281. Prime factorization of 74184 in exponential form is:

74184 = 2³ × 3¹ × 11¹ × 281¹

Step-2: Prime Factorization of 74189

Prime factors of 74189 are 74189. Prime factorization of 74189 in exponential form is:

74189 = 74189¹

Step-3: Factors of 74184

List of positive integer factors of 74184 that divides 74184 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264, 281, 562, 843, 1124, 1686, 2248, 3091, 3372, 6182, 6744, 9273, 12364, 18546, 24728, 37092

Step-4: Factors of 74189

List of positive integer factors of 74189 that divides 74184 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74184 and 74189. The biggest common factor number is the GCF number.
So the greatest common factor 74184 and 74189 is 1.

Also check out the Least Common Multiple of 74184 and 74189