What is the Greatest Common Factor of 81156 and 81168?

Greatest common factor (GCF) of 81156 and 81168 is 12.

GCF(81156,81168) = 12

We will now calculate the prime factors of 81156 and 81168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81156 and 81168.

How to find the GCF of 81156 and 81168?

We will first find the prime factorization of 81156 and 81168. After we will calculate the factors of 81156 and 81168 and find the biggest common factor number .

Step-1: Prime Factorization of 81156

Prime factors of 81156 are 2, 3, 6763. Prime factorization of 81156 in exponential form is:

81156 = 2² × 3¹ × 6763¹

Step-2: Prime Factorization of 81168

Prime factors of 81168 are 2, 3, 19, 89. Prime factorization of 81168 in exponential form is:

81168 = 2⁴ × 3¹ × 19¹ × 89¹

Step-3: Factors of 81156

List of positive integer factors of 81156 that divides 81156 without a remainder.

1, 2, 3, 4, 6, 12, 6763, 13526, 20289, 27052, 40578

Step-4: Factors of 81168

List of positive integer factors of 81168 that divides 81156 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 89, 114, 152, 178, 228, 267, 304, 356, 456, 534, 712, 912, 1068, 1424, 1691, 2136, 3382, 4272, 5073, 6764, 10146, 13528, 20292, 27056, 40584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81156 and 81168. The biggest common factor number is the GCF number.
So the greatest common factor 81156 and 81168 is 12.

Also check out the Least Common Multiple of 81156 and 81168