What is the Greatest Common Factor of 81072 and 81077?

Greatest common factor (GCF) of 81072 and 81077 is 1.

GCF(81072,81077) = 1

We will now calculate the prime factors of 81072 and 81077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81072 and 81077.

How to find the GCF of 81072 and 81077?

We will first find the prime factorization of 81072 and 81077. After we will calculate the factors of 81072 and 81077 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 81077

Prime factors of 81077 are 81077. Prime factorization of 81077 in exponential form is:

81077 = 81077¹

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 81077

List of positive integer factors of 81077 that divides 81072 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81072 and 81077. The biggest common factor number is the GCF number.
So the greatest common factor 81072 and 81077 is 1.

Also check out the Least Common Multiple of 81072 and 81077