What is the Greatest Common Factor of 74709 and 74723?

Greatest common factor (GCF) of 74709 and 74723 is 1.

GCF(74709,74723) = 1

We will now calculate the prime factors of 74709 and 74723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74709 and 74723.

How to find the GCF of 74709 and 74723?

We will first find the prime factorization of 74709 and 74723. After we will calculate the factors of 74709 and 74723 and find the biggest common factor number .

Step-1: Prime Factorization of 74709

Prime factors of 74709 are 3, 2767. Prime factorization of 74709 in exponential form is:

74709 = 3³ × 2767¹

Step-2: Prime Factorization of 74723

Prime factors of 74723 are 11, 6793. Prime factorization of 74723 in exponential form is:

74723 = 11¹ × 6793¹

Step-3: Factors of 74709

List of positive integer factors of 74709 that divides 74709 without a remainder.

1, 3, 9, 27, 2767, 8301, 24903

Step-4: Factors of 74723

List of positive integer factors of 74723 that divides 74709 without a remainder.

1, 11, 6793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74709 and 74723. The biggest common factor number is the GCF number.
So the greatest common factor 74709 and 74723 is 1.

Also check out the Least Common Multiple of 74709 and 74723