What is the Greatest Common Factor of 29289 and 29302?

Greatest common factor (GCF) of 29289 and 29302 is 13.

GCF(29289,29302) = 13

We will now calculate the prime factors of 29289 and 29302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29289 and 29302.

How to find the GCF of 29289 and 29302?

We will first find the prime factorization of 29289 and 29302. After we will calculate the factors of 29289 and 29302 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29302

Prime factors of 29302 are 2, 7, 13, 23. Prime factorization of 29302 in exponential form is:

29302 = 2¹ × 7² × 13¹ × 23¹

Step-3: Factors of 29289

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

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

Step-4: Factors of 29302

List of positive integer factors of 29302 that divides 29289 without a remainder.

1, 2, 7, 13, 14, 23, 26, 46, 49, 91, 98, 161, 182, 299, 322, 598, 637, 1127, 1274, 2093, 2254, 4186, 14651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29289 and 29302. The biggest common factor number is the GCF number.
So the greatest common factor 29289 and 29302 is 13.

Also check out the Least Common Multiple of 29289 and 29302