What is the Greatest Common Factor of 29142 and 29156?

Greatest common factor (GCF) of 29142 and 29156 is 2.

GCF(29142,29156) = 2

We will now calculate the prime factors of 29142 and 29156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29142 and 29156.

How to find the GCF of 29142 and 29156?

We will first find the prime factorization of 29142 and 29156. After we will calculate the factors of 29142 and 29156 and find the biggest common factor number .

Step-1: Prime Factorization of 29142

Prime factors of 29142 are 2, 3, 1619. Prime factorization of 29142 in exponential form is:

29142 = 2¹ × 3² × 1619¹

Step-2: Prime Factorization of 29156

Prime factors of 29156 are 2, 37, 197. Prime factorization of 29156 in exponential form is:

29156 = 2² × 37¹ × 197¹

Step-3: Factors of 29142

List of positive integer factors of 29142 that divides 29142 without a remainder.

1, 2, 3, 6, 9, 18, 1619, 3238, 4857, 9714, 14571

Step-4: Factors of 29156

List of positive integer factors of 29156 that divides 29142 without a remainder.

1, 2, 4, 37, 74, 148, 197, 394, 788, 7289, 14578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29142 and 29156. The biggest common factor number is the GCF number.
So the greatest common factor 29142 and 29156 is 2.

Also check out the Least Common Multiple of 29142 and 29156