What is the Greatest Common Factor of 29354 and 29367?

Greatest common factor (GCF) of 29354 and 29367 is 13.

GCF(29354,29367) = 13

We will now calculate the prime factors of 29354 and 29367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29354 and 29367.

How to find the GCF of 29354 and 29367?

We will first find the prime factorization of 29354 and 29367. After we will calculate the factors of 29354 and 29367 and find the biggest common factor number .

Step-1: Prime Factorization of 29354

Prime factors of 29354 are 2, 13, 1129. Prime factorization of 29354 in exponential form is:

29354 = 2¹ × 13¹ × 1129¹

Step-2: Prime Factorization of 29367

Prime factors of 29367 are 3, 13, 251. Prime factorization of 29367 in exponential form is:

29367 = 3² × 13¹ × 251¹

Step-3: Factors of 29354

List of positive integer factors of 29354 that divides 29354 without a remainder.

1, 2, 13, 26, 1129, 2258, 14677

Step-4: Factors of 29367

List of positive integer factors of 29367 that divides 29354 without a remainder.

1, 3, 9, 13, 39, 117, 251, 753, 2259, 3263, 9789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29354 and 29367. The biggest common factor number is the GCF number.
So the greatest common factor 29354 and 29367 is 13.

Also check out the Least Common Multiple of 29354 and 29367