What is the Greatest Common Factor of 36126 and 36141?

Greatest common factor (GCF) of 36126 and 36141 is 3.

GCF(36126,36141) = 3

We will now calculate the prime factors of 36126 and 36141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36126 and 36141.

How to find the GCF of 36126 and 36141?

We will first find the prime factorization of 36126 and 36141. After we will calculate the factors of 36126 and 36141 and find the biggest common factor number .

Step-1: Prime Factorization of 36126

Prime factors of 36126 are 2, 3, 223. Prime factorization of 36126 in exponential form is:

36126 = 2¹ × 3⁴ × 223¹

Step-2: Prime Factorization of 36141

Prime factors of 36141 are 3, 7, 1721. Prime factorization of 36141 in exponential form is:

36141 = 3¹ × 7¹ × 1721¹

Step-3: Factors of 36126

List of positive integer factors of 36126 that divides 36126 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 223, 446, 669, 1338, 2007, 4014, 6021, 12042, 18063

Step-4: Factors of 36141

List of positive integer factors of 36141 that divides 36126 without a remainder.

1, 3, 7, 21, 1721, 5163, 12047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36126 and 36141. The biggest common factor number is the GCF number.
So the greatest common factor 36126 and 36141 is 3.

Also check out the Least Common Multiple of 36126 and 36141