What is the Greatest Common Factor of 43046 and 43052?

Greatest common factor (GCF) of 43046 and 43052 is 2.

GCF(43046,43052) = 2

We will now calculate the prime factors of 43046 and 43052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43046 and 43052.

How to find the GCF of 43046 and 43052?

We will first find the prime factorization of 43046 and 43052. After we will calculate the factors of 43046 and 43052 and find the biggest common factor number .

Step-1: Prime Factorization of 43046

Prime factors of 43046 are 2, 21523. Prime factorization of 43046 in exponential form is:

43046 = 2¹ × 21523¹

Step-2: Prime Factorization of 43052

Prime factors of 43052 are 2, 47, 229. Prime factorization of 43052 in exponential form is:

43052 = 2² × 47¹ × 229¹

Step-3: Factors of 43046

List of positive integer factors of 43046 that divides 43046 without a remainder.

1, 2, 21523

Step-4: Factors of 43052

List of positive integer factors of 43052 that divides 43046 without a remainder.

1, 2, 4, 47, 94, 188, 229, 458, 916, 10763, 21526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43046 and 43052. The biggest common factor number is the GCF number.
So the greatest common factor 43046 and 43052 is 2.

Also check out the Least Common Multiple of 43046 and 43052