What is the Greatest Common Factor of 82147 and 82160?

Greatest common factor (GCF) of 82147 and 82160 is 13.

GCF(82147,82160) = 13

We will now calculate the prime factors of 82147 and 82160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82147 and 82160.

How to find the GCF of 82147 and 82160?

We will first find the prime factorization of 82147 and 82160. After we will calculate the factors of 82147 and 82160 and find the biggest common factor number .

Step-1: Prime Factorization of 82147

Prime factors of 82147 are 13, 71, 89. Prime factorization of 82147 in exponential form is:

82147 = 13¹ × 71¹ × 89¹

Step-2: 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-3: Factors of 82147

List of positive integer factors of 82147 that divides 82147 without a remainder.

1, 13, 71, 89, 923, 1157, 6319

Step-4: Factors of 82160

List of positive integer factors of 82160 that divides 82147 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82147 and 82160. The biggest common factor number is the GCF number.
So the greatest common factor 82147 and 82160 is 13.

Also check out the Least Common Multiple of 82147 and 82160