What is the Greatest Common Factor of 64176 and 64184?

Greatest common factor (GCF) of 64176 and 64184 is 8.

GCF(64176,64184) = 8

We will now calculate the prime factors of 64176 and 64184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64176 and 64184.

How to find the GCF of 64176 and 64184?

We will first find the prime factorization of 64176 and 64184. After we will calculate the factors of 64176 and 64184 and find the biggest common factor number .

Step-1: Prime Factorization of 64176

Prime factors of 64176 are 2, 3, 7, 191. Prime factorization of 64176 in exponential form is:

64176 = 2⁴ × 3¹ × 7¹ × 191¹

Step-2: Prime Factorization of 64184

Prime factors of 64184 are 2, 71, 113. Prime factorization of 64184 in exponential form is:

64184 = 2³ × 71¹ × 113¹

Step-3: Factors of 64176

List of positive integer factors of 64176 that divides 64176 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 191, 336, 382, 573, 764, 1146, 1337, 1528, 2292, 2674, 3056, 4011, 4584, 5348, 8022, 9168, 10696, 16044, 21392, 32088

Step-4: Factors of 64184

List of positive integer factors of 64184 that divides 64176 without a remainder.

1, 2, 4, 8, 71, 113, 142, 226, 284, 452, 568, 904, 8023, 16046, 32092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64176 and 64184. The biggest common factor number is the GCF number.
So the greatest common factor 64176 and 64184 is 8.

Also check out the Least Common Multiple of 64176 and 64184