What is the Greatest Common Factor of 74176 and 74184?

Greatest common factor (GCF) of 74176 and 74184 is 8.

GCF(74176,74184) = 8

We will now calculate the prime factors of 74176 and 74184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74176 and 74184.

How to find the GCF of 74176 and 74184?

We will first find the prime factorization of 74176 and 74184. After we will calculate the factors of 74176 and 74184 and find the biggest common factor number .

Step-1: Prime Factorization of 74176

Prime factors of 74176 are 2, 19, 61. Prime factorization of 74176 in exponential form is:

74176 = 2⁶ × 19¹ × 61¹

Step-2: 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-3: Factors of 74176

List of positive integer factors of 74176 that divides 74176 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 61, 64, 76, 122, 152, 244, 304, 488, 608, 976, 1159, 1216, 1952, 2318, 3904, 4636, 9272, 18544, 37088

Step-4: Factors of 74184

List of positive integer factors of 74184 that divides 74176 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74176 and 74184. The biggest common factor number is the GCF number.
So the greatest common factor 74176 and 74184 is 8.

Also check out the Least Common Multiple of 74176 and 74184