What is the Greatest Common Factor of 74655 and 74673?

Greatest common factor (GCF) of 74655 and 74673 is 9.

GCF(74655,74673) = 9

We will now calculate the prime factors of 74655 and 74673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74655 and 74673.

How to find the GCF of 74655 and 74673?

We will first find the prime factorization of 74655 and 74673. After we will calculate the factors of 74655 and 74673 and find the biggest common factor number .

Step-1: Prime Factorization of 74655

Prime factors of 74655 are 3, 5, 7, 79. Prime factorization of 74655 in exponential form is:

74655 = 3³ × 5¹ × 7¹ × 79¹

Step-2: Prime Factorization of 74673

Prime factors of 74673 are 3, 8297. Prime factorization of 74673 in exponential form is:

74673 = 3² × 8297¹

Step-3: Factors of 74655

List of positive integer factors of 74655 that divides 74655 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 79, 105, 135, 189, 237, 315, 395, 553, 711, 945, 1185, 1659, 2133, 2765, 3555, 4977, 8295, 10665, 14931, 24885

Step-4: Factors of 74673

List of positive integer factors of 74673 that divides 74655 without a remainder.

1, 3, 9, 8297, 24891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74655 and 74673. The biggest common factor number is the GCF number.
So the greatest common factor 74655 and 74673 is 9.

Also check out the Least Common Multiple of 74655 and 74673