What is the Greatest Common Factor of 64164 and 64176?

Greatest common factor (GCF) of 64164 and 64176 is 12.

GCF(64164,64176) = 12

We will now calculate the prime factors of 64164 and 64176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64164 and 64176.

How to find the GCF of 64164 and 64176?

We will first find the prime factorization of 64164 and 64176. After we will calculate the factors of 64164 and 64176 and find the biggest common factor number .

Step-1: Prime Factorization of 64164

Prime factors of 64164 are 2, 3, 5347. Prime factorization of 64164 in exponential form is:

64164 = 2² × 3¹ × 5347¹

Step-2: 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-3: Factors of 64164

List of positive integer factors of 64164 that divides 64164 without a remainder.

1, 2, 3, 4, 6, 12, 5347, 10694, 16041, 21388, 32082

Step-4: Factors of 64176

List of positive integer factors of 64176 that divides 64164 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64164 and 64176. The biggest common factor number is the GCF number.
So the greatest common factor 64164 and 64176 is 12.

Also check out the Least Common Multiple of 64164 and 64176