What is the Greatest Common Factor of 43762 and 43772?

Greatest common factor (GCF) of 43762 and 43772 is 2.

GCF(43762,43772) = 2

We will now calculate the prime factors of 43762 and 43772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43762 and 43772.

How to find the GCF of 43762 and 43772?

We will first find the prime factorization of 43762 and 43772. After we will calculate the factors of 43762 and 43772 and find the biggest common factor number .

Step-1: Prime Factorization of 43762

Prime factors of 43762 are 2, 21881. Prime factorization of 43762 in exponential form is:

43762 = 2¹ × 21881¹

Step-2: Prime Factorization of 43772

Prime factors of 43772 are 2, 31, 353. Prime factorization of 43772 in exponential form is:

43772 = 2² × 31¹ × 353¹

Step-3: Factors of 43762

List of positive integer factors of 43762 that divides 43762 without a remainder.

1, 2, 21881

Step-4: Factors of 43772

List of positive integer factors of 43772 that divides 43762 without a remainder.

1, 2, 4, 31, 62, 124, 353, 706, 1412, 10943, 21886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43762 and 43772. The biggest common factor number is the GCF number.
So the greatest common factor 43762 and 43772 is 2.

Also check out the Least Common Multiple of 43762 and 43772