What is the Greatest Common Factor of 81750 and 81760?

Greatest common factor (GCF) of 81750 and 81760 is 10.

GCF(81750,81760) = 10

We will now calculate the prime factors of 81750 and 81760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81750 and 81760.

How to find the GCF of 81750 and 81760?

We will first find the prime factorization of 81750 and 81760. After we will calculate the factors of 81750 and 81760 and find the biggest common factor number .

Step-1: Prime Factorization of 81750

Prime factors of 81750 are 2, 3, 5, 109. Prime factorization of 81750 in exponential form is:

81750 = 2¹ × 3¹ × 5³ × 109¹

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 81750

List of positive integer factors of 81750 that divides 81750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 109, 125, 150, 218, 250, 327, 375, 545, 654, 750, 1090, 1635, 2725, 3270, 5450, 8175, 13625, 16350, 27250, 40875

Step-4: Factors of 81760

List of positive integer factors of 81760 that divides 81750 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 81750 and 81760. The biggest common factor number is the GCF number.
So the greatest common factor 81750 and 81760 is 10.

Also check out the Least Common Multiple of 81750 and 81760