What is the Greatest Common Factor of 43752 and 43759?

Greatest common factor (GCF) of 43752 and 43759 is 1.

GCF(43752,43759) = 1

We will now calculate the prime factors of 43752 and 43759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43752 and 43759.

How to find the GCF of 43752 and 43759?

We will first find the prime factorization of 43752 and 43759. After we will calculate the factors of 43752 and 43759 and find the biggest common factor number .

Step-1: Prime Factorization of 43752

Prime factors of 43752 are 2, 3, 1823. Prime factorization of 43752 in exponential form is:

43752 = 2³ × 3¹ × 1823¹

Step-2: Prime Factorization of 43759

Prime factors of 43759 are 43759. Prime factorization of 43759 in exponential form is:

43759 = 43759¹

Step-3: Factors of 43752

List of positive integer factors of 43752 that divides 43752 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1823, 3646, 5469, 7292, 10938, 14584, 21876

Step-4: Factors of 43759

List of positive integer factors of 43759 that divides 43752 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43752 and 43759. The biggest common factor number is the GCF number.
So the greatest common factor 43752 and 43759 is 1.

Also check out the Least Common Multiple of 43752 and 43759