What is the Greatest Common Factor of 82160 and 82177?

Greatest common factor (GCF) of 82160 and 82177 is 1.

GCF(82160,82177) = 1

We will now calculate the prime factors of 82160 and 82177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82160 and 82177.

How to find the GCF of 82160 and 82177?

We will first find the prime factorization of 82160 and 82177. After we will calculate the factors of 82160 and 82177 and find the biggest common factor number .

Step-1: Prime Factorization of 82160

Prime factors of 82160 are 2, 5, 13, 79. Prime factorization of 82160 in exponential form is:

82160 = 2⁴ × 5¹ × 13¹ × 79¹

Step-2: Prime Factorization of 82177

Prime factors of 82177 are 37, 2221. Prime factorization of 82177 in exponential form is:

82177 = 37¹ × 2221¹

Step-3: Factors of 82160

List of positive integer factors of 82160 that divides 82160 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 79, 80, 104, 130, 158, 208, 260, 316, 395, 520, 632, 790, 1027, 1040, 1264, 1580, 2054, 3160, 4108, 5135, 6320, 8216, 10270, 16432, 20540, 41080

Step-4: Factors of 82177

List of positive integer factors of 82177 that divides 82160 without a remainder.

1, 37, 2221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82160 and 82177. The biggest common factor number is the GCF number.
So the greatest common factor 82160 and 82177 is 1.

Also check out the Least Common Multiple of 82160 and 82177