What is the Greatest Common Factor of 36164 and 36176?

Greatest common factor (GCF) of 36164 and 36176 is 4.

GCF(36164,36176) = 4

We will now calculate the prime factors of 36164 and 36176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36164 and 36176.

How to find the GCF of 36164 and 36176?

We will first find the prime factorization of 36164 and 36176. After we will calculate the factors of 36164 and 36176 and find the biggest common factor number .

Step-1: Prime Factorization of 36164

Prime factors of 36164 are 2, 9041. Prime factorization of 36164 in exponential form is:

36164 = 2² × 9041¹

Step-2: Prime Factorization of 36176

Prime factors of 36176 are 2, 7, 17, 19. Prime factorization of 36176 in exponential form is:

36176 = 2⁴ × 7¹ × 17¹ × 19¹

Step-3: Factors of 36164

List of positive integer factors of 36164 that divides 36164 without a remainder.

1, 2, 4, 9041, 18082

Step-4: Factors of 36176

List of positive integer factors of 36176 that divides 36164 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 19, 28, 34, 38, 56, 68, 76, 112, 119, 133, 136, 152, 238, 266, 272, 304, 323, 476, 532, 646, 952, 1064, 1292, 1904, 2128, 2261, 2584, 4522, 5168, 9044, 18088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36164 and 36176. The biggest common factor number is the GCF number.
So the greatest common factor 36164 and 36176 is 4.

Also check out the Least Common Multiple of 36164 and 36176