What is the Greatest Common Factor of 29372 and 29386?

Greatest common factor (GCF) of 29372 and 29386 is 14.

GCF(29372,29386) = 14

We will now calculate the prime factors of 29372 and 29386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29372 and 29386.

How to find the GCF of 29372 and 29386?

We will first find the prime factorization of 29372 and 29386. After we will calculate the factors of 29372 and 29386 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29386

Prime factors of 29386 are 2, 7, 2099. Prime factorization of 29386 in exponential form is:

29386 = 2¹ × 7¹ × 2099¹

Step-3: Factors of 29372

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

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

Step-4: Factors of 29386

List of positive integer factors of 29386 that divides 29372 without a remainder.

1, 2, 7, 14, 2099, 4198, 14693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29372 and 29386. The biggest common factor number is the GCF number.
So the greatest common factor 29372 and 29386 is 14.

Also check out the Least Common Multiple of 29372 and 29386