What is the Greatest Common Factor of 83421 and 83429?

Greatest common factor (GCF) of 83421 and 83429 is 1.

GCF(83421,83429) = 1

We will now calculate the prime factors of 83421 and 83429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83421 and 83429.

How to find the GCF of 83421 and 83429?

We will first find the prime factorization of 83421 and 83429. After we will calculate the factors of 83421 and 83429 and find the biggest common factor number .

Step-1: Prime Factorization of 83421

Prime factors of 83421 are 3, 13, 23, 31. Prime factorization of 83421 in exponential form is:

83421 = 3² × 13¹ × 23¹ × 31¹

Step-2: Prime Factorization of 83429

Prime factors of 83429 are 19, 4391. Prime factorization of 83429 in exponential form is:

83429 = 19¹ × 4391¹

Step-3: Factors of 83421

List of positive integer factors of 83421 that divides 83421 without a remainder.

1, 3, 9, 13, 23, 31, 39, 69, 93, 117, 207, 279, 299, 403, 713, 897, 1209, 2139, 2691, 3627, 6417, 9269, 27807

Step-4: Factors of 83429

List of positive integer factors of 83429 that divides 83421 without a remainder.

1, 19, 4391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83421 and 83429. The biggest common factor number is the GCF number.
So the greatest common factor 83421 and 83429 is 1.

Also check out the Least Common Multiple of 83421 and 83429