What is the Greatest Common Factor of 72141 and 72156?

Greatest common factor (GCF) of 72141 and 72156 is 3.

GCF(72141,72156) = 3

We will now calculate the prime factors of 72141 and 72156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72141 and 72156.

How to find the GCF of 72141 and 72156?

We will first find the prime factorization of 72141 and 72156. After we will calculate the factors of 72141 and 72156 and find the biggest common factor number .

Step-1: Prime Factorization of 72141

Prime factors of 72141 are 3, 139, 173. Prime factorization of 72141 in exponential form is:

72141 = 3¹ × 139¹ × 173¹

Step-2: Prime Factorization of 72156

Prime factors of 72156 are 2, 3, 7, 859. Prime factorization of 72156 in exponential form is:

72156 = 2² × 3¹ × 7¹ × 859¹

Step-3: Factors of 72141

List of positive integer factors of 72141 that divides 72141 without a remainder.

1, 3, 139, 173, 417, 519, 24047

Step-4: Factors of 72156

List of positive integer factors of 72156 that divides 72141 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 859, 1718, 2577, 3436, 5154, 6013, 10308, 12026, 18039, 24052, 36078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72141 and 72156. The biggest common factor number is the GCF number.
So the greatest common factor 72141 and 72156 is 3.

Also check out the Least Common Multiple of 72141 and 72156