What is the Greatest Common Factor of 74727 and 74733?

Greatest common factor (GCF) of 74727 and 74733 is 3.

GCF(74727,74733) = 3

We will now calculate the prime factors of 74727 and 74733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74727 and 74733.

How to find the GCF of 74727 and 74733?

We will first find the prime factorization of 74727 and 74733. After we will calculate the factors of 74727 and 74733 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74733

Prime factors of 74733 are 3, 29, 859. Prime factorization of 74733 in exponential form is:

74733 = 3¹ × 29¹ × 859¹

Step-3: Factors of 74727

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

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

Step-4: Factors of 74733

List of positive integer factors of 74733 that divides 74727 without a remainder.

1, 3, 29, 87, 859, 2577, 24911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74727 and 74733. The biggest common factor number is the GCF number.
So the greatest common factor 74727 and 74733 is 3.

Also check out the Least Common Multiple of 74727 and 74733