What is the Greatest Common Factor of 43238 and 43251?

Greatest common factor (GCF) of 43238 and 43251 is 13.

GCF(43238,43251) = 13

We will now calculate the prime factors of 43238 and 43251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43238 and 43251.

How to find the GCF of 43238 and 43251?

We will first find the prime factorization of 43238 and 43251. After we will calculate the factors of 43238 and 43251 and find the biggest common factor number .

Step-1: Prime Factorization of 43238

Prime factors of 43238 are 2, 13, 1663. Prime factorization of 43238 in exponential form is:

43238 = 2¹ × 13¹ × 1663¹

Step-2: 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-3: Factors of 43238

List of positive integer factors of 43238 that divides 43238 without a remainder.

1, 2, 13, 26, 1663, 3326, 21619

Step-4: Factors of 43251

List of positive integer factors of 43251 that divides 43238 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43238 and 43251. The biggest common factor number is the GCF number.
So the greatest common factor 43238 and 43251 is 13.

Also check out the Least Common Multiple of 43238 and 43251