What is the Greatest Common Factor of 74544 and 74553?

Greatest common factor (GCF) of 74544 and 74553 is 3.

GCF(74544,74553) = 3

We will now calculate the prime factors of 74544 and 74553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74544 and 74553.

How to find the GCF of 74544 and 74553?

We will first find the prime factorization of 74544 and 74553. After we will calculate the factors of 74544 and 74553 and find the biggest common factor number .

Step-1: Prime Factorization of 74544

Prime factors of 74544 are 2, 3, 1553. Prime factorization of 74544 in exponential form is:

74544 = 2⁴ × 3¹ × 1553¹

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 74544

List of positive integer factors of 74544 that divides 74544 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1553, 3106, 4659, 6212, 9318, 12424, 18636, 24848, 37272

Step-4: Factors of 74553

List of positive integer factors of 74553 that divides 74544 without a remainder.

1, 3, 24851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74544 and 74553. The biggest common factor number is the GCF number.
So the greatest common factor 74544 and 74553 is 3.

Also check out the Least Common Multiple of 74544 and 74553