What is the Greatest Common Factor of 81680 and 81693?

Greatest common factor (GCF) of 81680 and 81693 is 1.

GCF(81680,81693) = 1

We will now calculate the prime factors of 81680 and 81693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81680 and 81693.

How to find the GCF of 81680 and 81693?

We will first find the prime factorization of 81680 and 81693. After we will calculate the factors of 81680 and 81693 and find the biggest common factor number .

Step-1: Prime Factorization of 81680

Prime factors of 81680 are 2, 5, 1021. Prime factorization of 81680 in exponential form is:

81680 = 2⁴ × 5¹ × 1021¹

Step-2: Prime Factorization of 81693

Prime factors of 81693 are 3, 29, 313. Prime factorization of 81693 in exponential form is:

81693 = 3² × 29¹ × 313¹

Step-3: Factors of 81680

List of positive integer factors of 81680 that divides 81680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1021, 2042, 4084, 5105, 8168, 10210, 16336, 20420, 40840

Step-4: Factors of 81693

List of positive integer factors of 81693 that divides 81680 without a remainder.

1, 3, 9, 29, 87, 261, 313, 939, 2817, 9077, 27231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81680 and 81693. The biggest common factor number is the GCF number.
So the greatest common factor 81680 and 81693 is 1.

Also check out the Least Common Multiple of 81680 and 81693