What is the Greatest Common Factor of 29133 and 29146?

Greatest common factor (GCF) of 29133 and 29146 is 13.

GCF(29133,29146) = 13

We will now calculate the prime factors of 29133 and 29146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29133 and 29146.

How to find the GCF of 29133 and 29146?

We will first find the prime factorization of 29133 and 29146. After we will calculate the factors of 29133 and 29146 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 29146

Prime factors of 29146 are 2, 13, 19, 59. Prime factorization of 29146 in exponential form is:

29146 = 2¹ × 13¹ × 19¹ × 59¹

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 29146

List of positive integer factors of 29146 that divides 29133 without a remainder.

1, 2, 13, 19, 26, 38, 59, 118, 247, 494, 767, 1121, 1534, 2242, 14573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29133 and 29146. The biggest common factor number is the GCF number.
So the greatest common factor 29133 and 29146 is 13.

Also check out the Least Common Multiple of 29133 and 29146