What is the Greatest Common Factor of 81760 and 81769?

Greatest common factor (GCF) of 81760 and 81769 is 1.

GCF(81760,81769) = 1

We will now calculate the prime factors of 81760 and 81769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81760 and 81769.

How to find the GCF of 81760 and 81769?

We will first find the prime factorization of 81760 and 81769. After we will calculate the factors of 81760 and 81769 and find the biggest common factor number .

Step-1: Prime Factorization of 81760

Prime factors of 81760 are 2, 5, 7, 73. Prime factorization of 81760 in exponential form is:

81760 = 2⁵ × 5¹ × 7¹ × 73¹

Step-2: Prime Factorization of 81769

Prime factors of 81769 are 81769. Prime factorization of 81769 in exponential form is:

81769 = 81769¹

Step-3: Factors of 81760

List of positive integer factors of 81760 that divides 81760 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 73, 80, 112, 140, 146, 160, 224, 280, 292, 365, 511, 560, 584, 730, 1022, 1120, 1168, 1460, 2044, 2336, 2555, 2920, 4088, 5110, 5840, 8176, 10220, 11680, 16352, 20440, 40880

Step-4: Factors of 81769

List of positive integer factors of 81769 that divides 81760 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81760 and 81769. The biggest common factor number is the GCF number.
So the greatest common factor 81760 and 81769 is 1.

Also check out the Least Common Multiple of 81760 and 81769