What is the Greatest Common Factor of 29212 and 29231?

Greatest common factor (GCF) of 29212 and 29231 is 1.

GCF(29212,29231) = 1

We will now calculate the prime factors of 29212 and 29231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29212 and 29231.

How to find the GCF of 29212 and 29231?

We will first find the prime factorization of 29212 and 29231. After we will calculate the factors of 29212 and 29231 and find the biggest common factor number .

Step-1: Prime Factorization of 29212

Prime factors of 29212 are 2, 67, 109. Prime factorization of 29212 in exponential form is:

29212 = 2² × 67¹ × 109¹

Step-2: Prime Factorization of 29231

Prime factors of 29231 are 29231. Prime factorization of 29231 in exponential form is:

29231 = 29231¹

Step-3: Factors of 29212

List of positive integer factors of 29212 that divides 29212 without a remainder.

1, 2, 4, 67, 109, 134, 218, 268, 436, 7303, 14606

Step-4: Factors of 29231

List of positive integer factors of 29231 that divides 29212 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29212 and 29231. The biggest common factor number is the GCF number.
So the greatest common factor 29212 and 29231 is 1.

Also check out the Least Common Multiple of 29212 and 29231