What is the Greatest Common Factor of 43236 and 43251?

Greatest common factor (GCF) of 43236 and 43251 is 3.

GCF(43236,43251) = 3

We will now calculate the prime factors of 43236 and 43251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43236 and 43251.

How to find the GCF of 43236 and 43251?

We will first find the prime factorization of 43236 and 43251. After we will calculate the factors of 43236 and 43251 and find the biggest common factor number .

Step-1: Prime Factorization of 43236

Prime factors of 43236 are 2, 3, 1201. Prime factorization of 43236 in exponential form is:

43236 = 2² × 3² × 1201¹

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 43236

List of positive integer factors of 43236 that divides 43236 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1201, 2402, 3603, 4804, 7206, 10809, 14412, 21618

Step-4: Factors of 43251

List of positive integer factors of 43251 that divides 43236 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43236 and 43251. The biggest common factor number is the GCF number.
So the greatest common factor 43236 and 43251 is 3.

Also check out the Least Common Multiple of 43236 and 43251