What is the Greatest Common Factor of 74709 and 74727?

Greatest common factor (GCF) of 74709 and 74727 is 9.

GCF(74709,74727) = 9

We will now calculate the prime factors of 74709 and 74727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74709 and 74727.

How to find the GCF of 74709 and 74727?

We will first find the prime factorization of 74709 and 74727. After we will calculate the factors of 74709 and 74727 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 74727

Prime factors of 74727 are 3, 19, 23. Prime factorization of 74727 in exponential form is:

74727 = 3² × 19² × 23¹

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 74727

List of positive integer factors of 74727 that divides 74709 without a remainder.

1, 3, 9, 19, 23, 57, 69, 171, 207, 361, 437, 1083, 1311, 3249, 3933, 8303, 24909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74709 and 74727. The biggest common factor number is the GCF number.
So the greatest common factor 74709 and 74727 is 9.

Also check out the Least Common Multiple of 74709 and 74727