What is the Greatest Common Factor of 29358 and 29372?

Greatest common factor (GCF) of 29358 and 29372 is 14.

GCF(29358,29372) = 14

We will now calculate the prime factors of 29358 and 29372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29358 and 29372.

How to find the GCF of 29358 and 29372?

We will first find the prime factorization of 29358 and 29372. After we will calculate the factors of 29358 and 29372 and find the biggest common factor number .

Step-1: Prime Factorization of 29358

Prime factors of 29358 are 2, 3, 7, 233. Prime factorization of 29358 in exponential form is:

29358 = 2¹ × 3² × 7¹ × 233¹

Step-2: Prime Factorization of 29372

Prime factors of 29372 are 2, 7, 1049. Prime factorization of 29372 in exponential form is:

29372 = 2² × 7¹ × 1049¹

Step-3: Factors of 29358

List of positive integer factors of 29358 that divides 29358 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 233, 466, 699, 1398, 1631, 2097, 3262, 4194, 4893, 9786, 14679

Step-4: Factors of 29372

List of positive integer factors of 29372 that divides 29358 without a remainder.

1, 2, 4, 7, 14, 28, 1049, 2098, 4196, 7343, 14686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29358 and 29372. The biggest common factor number is the GCF number.
So the greatest common factor 29358 and 29372 is 14.

Also check out the Least Common Multiple of 29358 and 29372