What is the Greatest Common Factor of 81760 and 81778?

Greatest common factor (GCF) of 81760 and 81778 is 2.

GCF(81760,81778) = 2

We will now calculate the prime factors of 81760 and 81778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81760 and 81778.

How to find the GCF of 81760 and 81778?

We will first find the prime factorization of 81760 and 81778. After we will calculate the factors of 81760 and 81778 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 81778

Prime factors of 81778 are 2, 31, 1319. Prime factorization of 81778 in exponential form is:

81778 = 2¹ × 31¹ × 1319¹

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 81778

List of positive integer factors of 81778 that divides 81760 without a remainder.

1, 2, 31, 62, 1319, 2638, 40889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81760 and 81778. The biggest common factor number is the GCF number.
So the greatest common factor 81760 and 81778 is 2.

Also check out the Least Common Multiple of 81760 and 81778