What is the Greatest Common Factor of 74727 and 74739?

Greatest common factor (GCF) of 74727 and 74739 is 3.

GCF(74727,74739) = 3

We will now calculate the prime factors of 74727 and 74739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74727 and 74739.

How to find the GCF of 74727 and 74739?

We will first find the prime factorization of 74727 and 74739. After we will calculate the factors of 74727 and 74739 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 74739

Prime factors of 74739 are 3, 7, 3559. Prime factorization of 74739 in exponential form is:

74739 = 3¹ × 7¹ × 3559¹

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 74739

List of positive integer factors of 74739 that divides 74727 without a remainder.

1, 3, 7, 21, 3559, 10677, 24913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74727 and 74739. The biggest common factor number is the GCF number.
So the greatest common factor 74727 and 74739 is 3.

Also check out the Least Common Multiple of 74727 and 74739