What is the Greatest Common Factor of 43724 and 43742?

Greatest common factor (GCF) of 43724 and 43742 is 2.

GCF(43724,43742) = 2

We will now calculate the prime factors of 43724 and 43742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43724 and 43742.

How to find the GCF of 43724 and 43742?

We will first find the prime factorization of 43724 and 43742. After we will calculate the factors of 43724 and 43742 and find the biggest common factor number .

Step-1: Prime Factorization of 43724

Prime factors of 43724 are 2, 17, 643. Prime factorization of 43724 in exponential form is:

43724 = 2² × 17¹ × 643¹

Step-2: Prime Factorization of 43742

Prime factors of 43742 are 2, 21871. Prime factorization of 43742 in exponential form is:

43742 = 2¹ × 21871¹

Step-3: Factors of 43724

List of positive integer factors of 43724 that divides 43724 without a remainder.

1, 2, 4, 17, 34, 68, 643, 1286, 2572, 10931, 21862

Step-4: Factors of 43742

List of positive integer factors of 43742 that divides 43724 without a remainder.

1, 2, 21871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43724 and 43742. The biggest common factor number is the GCF number.
So the greatest common factor 43724 and 43742 is 2.

Also check out the Least Common Multiple of 43724 and 43742