What is the Greatest Common Factor of 43724 and 43737?

Greatest common factor (GCF) of 43724 and 43737 is 1.

GCF(43724,43737) = 1

We will now calculate the prime factors of 43724 and 43737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43724 and 43737.

How to find the GCF of 43724 and 43737?

We will first find the prime factorization of 43724 and 43737. After we will calculate the factors of 43724 and 43737 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 43737

Prime factors of 43737 are 3, 61, 239. Prime factorization of 43737 in exponential form is:

43737 = 3¹ × 61¹ × 239¹

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 43737

List of positive integer factors of 43737 that divides 43724 without a remainder.

1, 3, 61, 183, 239, 717, 14579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43724 and 43737. The biggest common factor number is the GCF number.
So the greatest common factor 43724 and 43737 is 1.

Also check out the Least Common Multiple of 43724 and 43737