What is the Greatest Common Factor of 29133 and 29142?

Greatest common factor (GCF) of 29133 and 29142 is 9.

GCF(29133,29142) = 9

We will now calculate the prime factors of 29133 and 29142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29133 and 29142.

How to find the GCF of 29133 and 29142?

We will first find the prime factorization of 29133 and 29142. After we will calculate the factors of 29133 and 29142 and find the biggest common factor number .

Step-1: Prime Factorization of 29133

Prime factors of 29133 are 3, 13, 83. Prime factorization of 29133 in exponential form is:

29133 = 3³ × 13¹ × 83¹

Step-2: 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-3: Factors of 29133

List of positive integer factors of 29133 that divides 29133 without a remainder.

1, 3, 9, 13, 27, 39, 83, 117, 249, 351, 747, 1079, 2241, 3237, 9711

Step-4: Factors of 29142

List of positive integer factors of 29142 that divides 29133 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29133 and 29142. The biggest common factor number is the GCF number.
So the greatest common factor 29133 and 29142 is 9.

Also check out the Least Common Multiple of 29133 and 29142