What is the Greatest Common Factor of 43251 and 43258?

Greatest common factor (GCF) of 43251 and 43258 is 1.

GCF(43251,43258) = 1

We will now calculate the prime factors of 43251 and 43258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43251 and 43258.

How to find the GCF of 43251 and 43258?

We will first find the prime factorization of 43251 and 43258. After we will calculate the factors of 43251 and 43258 and find the biggest common factor number .

Step-1: Prime Factorization of 43251

Prime factors of 43251 are 3, 13, 1109. Prime factorization of 43251 in exponential form is:

43251 = 3¹ × 13¹ × 1109¹

Step-2: Prime Factorization of 43258

Prime factors of 43258 are 2, 43, 503. Prime factorization of 43258 in exponential form is:

43258 = 2¹ × 43¹ × 503¹

Step-3: Factors of 43251

List of positive integer factors of 43251 that divides 43251 without a remainder.

1, 3, 13, 39, 1109, 3327, 14417

Step-4: Factors of 43258

List of positive integer factors of 43258 that divides 43251 without a remainder.

1, 2, 43, 86, 503, 1006, 21629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43251 and 43258. The biggest common factor number is the GCF number.
So the greatest common factor 43251 and 43258 is 1.

Also check out the Least Common Multiple of 43251 and 43258