What is the Greatest Common Factor of 43142 and 43162?

Greatest common factor (GCF) of 43142 and 43162 is 2.

GCF(43142,43162) = 2

We will now calculate the prime factors of 43142 and 43162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43142 and 43162.

How to find the GCF of 43142 and 43162?

We will first find the prime factorization of 43142 and 43162. After we will calculate the factors of 43142 and 43162 and find the biggest common factor number .

Step-1: Prime Factorization of 43142

Prime factors of 43142 are 2, 11, 37, 53. Prime factorization of 43142 in exponential form is:

43142 = 2¹ × 11¹ × 37¹ × 53¹

Step-2: Prime Factorization of 43162

Prime factors of 43162 are 2, 7, 3083. Prime factorization of 43162 in exponential form is:

43162 = 2¹ × 7¹ × 3083¹

Step-3: Factors of 43142

List of positive integer factors of 43142 that divides 43142 without a remainder.

1, 2, 11, 22, 37, 53, 74, 106, 407, 583, 814, 1166, 1961, 3922, 21571

Step-4: Factors of 43162

List of positive integer factors of 43162 that divides 43142 without a remainder.

1, 2, 7, 14, 3083, 6166, 21581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43142 and 43162. The biggest common factor number is the GCF number.
So the greatest common factor 43142 and 43162 is 2.

Also check out the Least Common Multiple of 43142 and 43162