What is the Greatest Common Factor of 81740 and 81760?

Greatest common factor (GCF) of 81740 and 81760 is 20.

GCF(81740,81760) = 20

We will now calculate the prime factors of 81740 and 81760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81740 and 81760.

How to find the GCF of 81740 and 81760?

We will first find the prime factorization of 81740 and 81760. After we will calculate the factors of 81740 and 81760 and find the biggest common factor number .

Step-1: Prime Factorization of 81740

Prime factors of 81740 are 2, 5, 61, 67. Prime factorization of 81740 in exponential form is:

81740 = 2² × 5¹ × 61¹ × 67¹

Step-2: 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-3: Factors of 81740

List of positive integer factors of 81740 that divides 81740 without a remainder.

1, 2, 4, 5, 10, 20, 61, 67, 122, 134, 244, 268, 305, 335, 610, 670, 1220, 1340, 4087, 8174, 16348, 20435, 40870

Step-4: Factors of 81760

List of positive integer factors of 81760 that divides 81740 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81740 and 81760. The biggest common factor number is the GCF number.
So the greatest common factor 81740 and 81760 is 20.

Also check out the Least Common Multiple of 81740 and 81760