What is the Greatest Common Factor of 36156 and 36176?

Greatest common factor (GCF) of 36156 and 36176 is 4.

GCF(36156,36176) = 4

We will now calculate the prime factors of 36156 and 36176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36156 and 36176.

How to find the GCF of 36156 and 36176?

We will first find the prime factorization of 36156 and 36176. After we will calculate the factors of 36156 and 36176 and find the biggest common factor number .

Step-1: Prime Factorization of 36156

Prime factors of 36156 are 2, 3, 23, 131. Prime factorization of 36156 in exponential form is:

36156 = 2² × 3¹ × 23¹ × 131¹

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 36156

List of positive integer factors of 36156 that divides 36156 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 131, 138, 262, 276, 393, 524, 786, 1572, 3013, 6026, 9039, 12052, 18078

Step-4: Factors of 36176

List of positive integer factors of 36176 that divides 36156 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 36156 and 36176. The biggest common factor number is the GCF number.
So the greatest common factor 36156 and 36176 is 4.

Also check out the Least Common Multiple of 36156 and 36176