What is the Greatest Common Factor of 43755 and 43762?

Greatest common factor (GCF) of 43755 and 43762 is 1.

GCF(43755,43762) = 1

We will now calculate the prime factors of 43755 and 43762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43755 and 43762.

How to find the GCF of 43755 and 43762?

We will first find the prime factorization of 43755 and 43762. After we will calculate the factors of 43755 and 43762 and find the biggest common factor number .

Step-1: Prime Factorization of 43755

Prime factors of 43755 are 3, 5, 2917. Prime factorization of 43755 in exponential form is:

43755 = 3¹ × 5¹ × 2917¹

Step-2: Prime Factorization of 43762

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

43762 = 2¹ × 21881¹

Step-3: Factors of 43755

List of positive integer factors of 43755 that divides 43755 without a remainder.

1, 3, 5, 15, 2917, 8751, 14585

Step-4: Factors of 43762

List of positive integer factors of 43762 that divides 43755 without a remainder.

1, 2, 21881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43755 and 43762. The biggest common factor number is the GCF number.
So the greatest common factor 43755 and 43762 is 1.

Also check out the Least Common Multiple of 43755 and 43762