What is the Greatest Common Factor of 74184 and 74195?

Greatest common factor (GCF) of 74184 and 74195 is 11.

GCF(74184,74195) = 11

We will now calculate the prime factors of 74184 and 74195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74184 and 74195.

How to find the GCF of 74184 and 74195?

We will first find the prime factorization of 74184 and 74195. After we will calculate the factors of 74184 and 74195 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 74195

Prime factors of 74195 are 5, 11, 19, 71. Prime factorization of 74195 in exponential form is:

74195 = 5¹ × 11¹ × 19¹ × 71¹

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 74195

List of positive integer factors of 74195 that divides 74184 without a remainder.

1, 5, 11, 19, 55, 71, 95, 209, 355, 781, 1045, 1349, 3905, 6745, 14839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74184 and 74195. The biggest common factor number is the GCF number.
So the greatest common factor 74184 and 74195 is 11.

Also check out the Least Common Multiple of 74184 and 74195