What is the Greatest Common Factor of 75156 and 75174?

Greatest common factor (GCF) of 75156 and 75174 is 6.

GCF(75156,75174) = 6

We will now calculate the prime factors of 75156 and 75174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75156 and 75174.

How to find the GCF of 75156 and 75174?

We will first find the prime factorization of 75156 and 75174. After we will calculate the factors of 75156 and 75174 and find the biggest common factor number .

Step-1: Prime Factorization of 75156

Prime factors of 75156 are 2, 3, 6263. Prime factorization of 75156 in exponential form is:

75156 = 2² × 3¹ × 6263¹

Step-2: Prime Factorization of 75174

Prime factors of 75174 are 2, 3, 11, 17, 67. Prime factorization of 75174 in exponential form is:

75174 = 2¹ × 3¹ × 11¹ × 17¹ × 67¹

Step-3: Factors of 75156

List of positive integer factors of 75156 that divides 75156 without a remainder.

1, 2, 3, 4, 6, 12, 6263, 12526, 18789, 25052, 37578

Step-4: Factors of 75174

List of positive integer factors of 75174 that divides 75156 without a remainder.

1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 67, 102, 134, 187, 201, 374, 402, 561, 737, 1122, 1139, 1474, 2211, 2278, 3417, 4422, 6834, 12529, 25058, 37587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75156 and 75174. The biggest common factor number is the GCF number.
So the greatest common factor 75156 and 75174 is 6.

Also check out the Least Common Multiple of 75156 and 75174