What is the Greatest Common Factor of 81072 and 81088?

Greatest common factor (GCF) of 81072 and 81088 is 16.

GCF(81072,81088) = 16

We will now calculate the prime factors of 81072 and 81088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81072 and 81088.

How to find the GCF of 81072 and 81088?

We will first find the prime factorization of 81072 and 81088. After we will calculate the factors of 81072 and 81088 and find the biggest common factor number .

Step-1: Prime Factorization of 81072

Prime factors of 81072 are 2, 3, 563. Prime factorization of 81072 in exponential form is:

81072 = 2⁴ × 3² × 563¹

Step-2: Prime Factorization of 81088

Prime factors of 81088 are 2, 7, 181. Prime factorization of 81088 in exponential form is:

81088 = 2⁶ × 7¹ × 181¹

Step-3: Factors of 81072

List of positive integer factors of 81072 that divides 81072 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 563, 1126, 1689, 2252, 3378, 4504, 5067, 6756, 9008, 10134, 13512, 20268, 27024, 40536

Step-4: Factors of 81088

List of positive integer factors of 81088 that divides 81072 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 181, 224, 362, 448, 724, 1267, 1448, 2534, 2896, 5068, 5792, 10136, 11584, 20272, 40544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81072 and 81088. The biggest common factor number is the GCF number.
So the greatest common factor 81072 and 81088 is 16.

Also check out the Least Common Multiple of 81072 and 81088