What is the Greatest Common Factor of 29129 and 29133?

Greatest common factor (GCF) of 29129 and 29133 is 1.

GCF(29129,29133) = 1

We will now calculate the prime factors of 29129 and 29133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29129 and 29133.

How to find the GCF of 29129 and 29133?

We will first find the prime factorization of 29129 and 29133. After we will calculate the factors of 29129 and 29133 and find the biggest common factor number .

Step-1: Prime Factorization of 29129

Prime factors of 29129 are 29129. Prime factorization of 29129 in exponential form is:

29129 = 29129¹

Step-2: 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-3: Factors of 29129

List of positive integer factors of 29129 that divides 29129 without a remainder.

Step-4: Factors of 29133

List of positive integer factors of 29133 that divides 29129 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29129 and 29133. The biggest common factor number is the GCF number.
So the greatest common factor 29129 and 29133 is 1.

Also check out the Least Common Multiple of 29129 and 29133