What is the Greatest Common Factor of 36141 and 36156?

Greatest common factor (GCF) of 36141 and 36156 is 3.

GCF(36141,36156) = 3

We will now calculate the prime factors of 36141 and 36156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36141 and 36156.

How to find the GCF of 36141 and 36156?

We will first find the prime factorization of 36141 and 36156. After we will calculate the factors of 36141 and 36156 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 36141

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

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

Step-4: Factors of 36156

List of positive integer factors of 36156 that divides 36141 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36141 and 36156. The biggest common factor number is the GCF number.
So the greatest common factor 36141 and 36156 is 3.

Also check out the Least Common Multiple of 36141 and 36156