What is the Greatest Common Factor of 29162 and 29178?

Greatest common factor (GCF) of 29162 and 29178 is 2.

GCF(29162,29178) = 2

We will now calculate the prime factors of 29162 and 29178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29162 and 29178.

How to find the GCF of 29162 and 29178?

We will first find the prime factorization of 29162 and 29178. After we will calculate the factors of 29162 and 29178 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29178

Prime factors of 29178 are 2, 3, 1621. Prime factorization of 29178 in exponential form is:

29178 = 2¹ × 3² × 1621¹

Step-3: Factors of 29162

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

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

Step-4: Factors of 29178

List of positive integer factors of 29178 that divides 29162 without a remainder.

1, 2, 3, 6, 9, 18, 1621, 3242, 4863, 9726, 14589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29162 and 29178. The biggest common factor number is the GCF number.
So the greatest common factor 29162 and 29178 is 2.

Also check out the Least Common Multiple of 29162 and 29178