What is the Greatest Common Factor of 42723 and 42737?

Greatest common factor (GCF) of 42723 and 42737 is 1.

GCF(42723,42737) = 1

We will now calculate the prime factors of 42723 and 42737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42723 and 42737.

How to find the GCF of 42723 and 42737?

We will first find the prime factorization of 42723 and 42737. After we will calculate the factors of 42723 and 42737 and find the biggest common factor number .

Step-1: Prime Factorization of 42723

Prime factors of 42723 are 3, 47, 101. Prime factorization of 42723 in exponential form is:

42723 = 3² × 47¹ × 101¹

Step-2: Prime Factorization of 42737

Prime factors of 42737 are 42737. Prime factorization of 42737 in exponential form is:

42737 = 42737¹

Step-3: Factors of 42723

List of positive integer factors of 42723 that divides 42723 without a remainder.

1, 3, 9, 47, 101, 141, 303, 423, 909, 4747, 14241

Step-4: Factors of 42737

List of positive integer factors of 42737 that divides 42723 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42723 and 42737. The biggest common factor number is the GCF number.
So the greatest common factor 42723 and 42737 is 1.

Also check out the Least Common Multiple of 42723 and 42737