What is the Greatest Common Factor of 29144 and 29162?

Greatest common factor (GCF) of 29144 and 29162 is 2.

GCF(29144,29162) = 2

We will now calculate the prime factors of 29144 and 29162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29144 and 29162.

How to find the GCF of 29144 and 29162?

We will first find the prime factorization of 29144 and 29162. After we will calculate the factors of 29144 and 29162 and find the biggest common factor number .

Step-1: Prime Factorization of 29144

Prime factors of 29144 are 2, 3643. Prime factorization of 29144 in exponential form is:

29144 = 2³ × 3643¹

Step-2: Prime Factorization of 29162

Prime factors of 29162 are 2, 7, 2083. Prime factorization of 29162 in exponential form is:

29162 = 2¹ × 7¹ × 2083¹

Step-3: Factors of 29144

List of positive integer factors of 29144 that divides 29144 without a remainder.

1, 2, 4, 8, 3643, 7286, 14572

Step-4: Factors of 29162

List of positive integer factors of 29162 that divides 29144 without a remainder.

1, 2, 7, 14, 2083, 4166, 14581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29144 and 29162. The biggest common factor number is the GCF number.
So the greatest common factor 29144 and 29162 is 2.

Also check out the Least Common Multiple of 29144 and 29162