What is the Greatest Common Factor of 82711 and 82720?

Greatest common factor (GCF) of 82711 and 82720 is 1.

GCF(82711,82720) = 1

We will now calculate the prime factors of 82711 and 82720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82711 and 82720.

How to find the GCF of 82711 and 82720?

We will first find the prime factorization of 82711 and 82720. After we will calculate the factors of 82711 and 82720 and find the biggest common factor number .

Step-1: Prime Factorization of 82711

Prime factors of 82711 are 107, 773. Prime factorization of 82711 in exponential form is:

82711 = 107¹ × 773¹

Step-2: Prime Factorization of 82720

Prime factors of 82720 are 2, 5, 11, 47. Prime factorization of 82720 in exponential form is:

82720 = 2⁵ × 5¹ × 11¹ × 47¹

Step-3: Factors of 82711

List of positive integer factors of 82711 that divides 82711 without a remainder.

1, 107, 773

Step-4: Factors of 82720

List of positive integer factors of 82720 that divides 82711 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 47, 55, 80, 88, 94, 110, 160, 176, 188, 220, 235, 352, 376, 440, 470, 517, 752, 880, 940, 1034, 1504, 1760, 1880, 2068, 2585, 3760, 4136, 5170, 7520, 8272, 10340, 16544, 20680, 41360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82711 and 82720. The biggest common factor number is the GCF number.
So the greatest common factor 82711 and 82720 is 1.

Also check out the Least Common Multiple of 82711 and 82720