What is the Greatest Common Factor of 8112 and 8131?

Greatest common factor (GCF) of 8112 and 8131 is 1.

GCF(8112,8131) = 1

We will now calculate the prime factors of 8112 and 8131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8112 and 8131.

How to find the GCF of 8112 and 8131?

We will first find the prime factorization of 8112 and 8131. After we will calculate the factors of 8112 and 8131 and find the biggest common factor number .

Step-1: Prime Factorization of 8112

Prime factors of 8112 are 2, 3, 13. Prime factorization of 8112 in exponential form is:

8112 = 2⁴ × 3¹ × 13²

Step-2: Prime Factorization of 8131

Prime factors of 8131 are 47, 173. Prime factorization of 8131 in exponential form is:

8131 = 47¹ × 173¹

Step-3: Factors of 8112

List of positive integer factors of 8112 that divides 8112 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 169, 208, 312, 338, 507, 624, 676, 1014, 1352, 2028, 2704, 4056

Step-4: Factors of 8131

List of positive integer factors of 8131 that divides 8112 without a remainder.

1, 47, 173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8112 and 8131. The biggest common factor number is the GCF number.
So the greatest common factor 8112 and 8131 is 1.

Also check out the Least Common Multiple of 8112 and 8131