What is the Greatest Common Factor of 74184 and 74203?

Greatest common factor (GCF) of 74184 and 74203 is 1.

GCF(74184,74203) = 1

We will now calculate the prime factors of 74184 and 74203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74184 and 74203.

How to find the GCF of 74184 and 74203?

We will first find the prime factorization of 74184 and 74203. After we will calculate the factors of 74184 and 74203 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 74203

Prime factors of 74203 are 74203. Prime factorization of 74203 in exponential form is:

74203 = 74203¹

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 74203

List of positive integer factors of 74203 that divides 74184 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74184 and 74203. The biggest common factor number is the GCF number.
So the greatest common factor 74184 and 74203 is 1.

Also check out the Least Common Multiple of 74184 and 74203