What is the Greatest Common Factor of 83421 and 83434?

Greatest common factor (GCF) of 83421 and 83434 is 13.

GCF(83421,83434) = 13

We will now calculate the prime factors of 83421 and 83434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83421 and 83434.

How to find the GCF of 83421 and 83434?

We will first find the prime factorization of 83421 and 83434. After we will calculate the factors of 83421 and 83434 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 83434

Prime factors of 83434 are 2, 13, 3209. Prime factorization of 83434 in exponential form is:

83434 = 2¹ × 13¹ × 3209¹

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 83434

List of positive integer factors of 83434 that divides 83421 without a remainder.

1, 2, 13, 26, 3209, 6418, 41717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83421 and 83434. The biggest common factor number is the GCF number.
So the greatest common factor 83421 and 83434 is 13.

Also check out the Least Common Multiple of 83421 and 83434