What is the Greatest Common Factor of 29276 and 29289?

Greatest common factor (GCF) of 29276 and 29289 is 13.

GCF(29276,29289) = 13

We will now calculate the prime factors of 29276 and 29289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29276 and 29289.

How to find the GCF of 29276 and 29289?

We will first find the prime factorization of 29276 and 29289. After we will calculate the factors of 29276 and 29289 and find the biggest common factor number .

Step-1: Prime Factorization of 29276

Prime factors of 29276 are 2, 13, 563. Prime factorization of 29276 in exponential form is:

29276 = 2² × 13¹ × 563¹

Step-2: Prime Factorization of 29289

Prime factors of 29289 are 3, 13, 751. Prime factorization of 29289 in exponential form is:

29289 = 3¹ × 13¹ × 751¹

Step-3: Factors of 29276

List of positive integer factors of 29276 that divides 29276 without a remainder.

1, 2, 4, 13, 26, 52, 563, 1126, 2252, 7319, 14638

Step-4: Factors of 29289

List of positive integer factors of 29289 that divides 29276 without a remainder.

1, 3, 13, 39, 751, 2253, 9763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29276 and 29289. The biggest common factor number is the GCF number.
So the greatest common factor 29276 and 29289 is 13.

Also check out the Least Common Multiple of 29276 and 29289