What is the Greatest Common Factor of 74547 and 74553?

Greatest common factor (GCF) of 74547 and 74553 is 3.

GCF(74547,74553) = 3

We will now calculate the prime factors of 74547 and 74553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74547 and 74553.

How to find the GCF of 74547 and 74553?

We will first find the prime factorization of 74547 and 74553. After we will calculate the factors of 74547 and 74553 and find the biggest common factor number .

Step-1: Prime Factorization of 74547

Prime factors of 74547 are 3, 11, 251. Prime factorization of 74547 in exponential form is:

74547 = 3³ × 11¹ × 251¹

Step-2: Prime Factorization of 74553

Prime factors of 74553 are 3, 24851. Prime factorization of 74553 in exponential form is:

74553 = 3¹ × 24851¹

Step-3: Factors of 74547

List of positive integer factors of 74547 that divides 74547 without a remainder.

1, 3, 9, 11, 27, 33, 99, 251, 297, 753, 2259, 2761, 6777, 8283, 24849

Step-4: Factors of 74553

List of positive integer factors of 74553 that divides 74547 without a remainder.

1, 3, 24851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74547 and 74553. The biggest common factor number is the GCF number.
So the greatest common factor 74547 and 74553 is 3.

Also check out the Least Common Multiple of 74547 and 74553