What is the Greatest Common Factor of 72156 and 72165?

Greatest common factor (GCF) of 72156 and 72165 is 3.

GCF(72156,72165) = 3

We will now calculate the prime factors of 72156 and 72165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72156 and 72165.

How to find the GCF of 72156 and 72165?

We will first find the prime factorization of 72156 and 72165. After we will calculate the factors of 72156 and 72165 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72165

Prime factors of 72165 are 3, 5, 17, 283. Prime factorization of 72165 in exponential form is:

72165 = 3¹ × 5¹ × 17¹ × 283¹

Step-3: Factors of 72156

List of positive integer factors of 72156 that divides 72156 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

Step-4: Factors of 72165

List of positive integer factors of 72165 that divides 72156 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 283, 849, 1415, 4245, 4811, 14433, 24055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72156 and 72165. The biggest common factor number is the GCF number.
So the greatest common factor 72156 and 72165 is 3.

Also check out the Least Common Multiple of 72156 and 72165