What is the Greatest Common Factor of 73539 and 73554?

Greatest common factor (GCF) of 73539 and 73554 is 3.

GCF(73539,73554) = 3

We will now calculate the prime factors of 73539 and 73554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73539 and 73554.

How to find the GCF of 73539 and 73554?

We will first find the prime factorization of 73539 and 73554. After we will calculate the factors of 73539 and 73554 and find the biggest common factor number .

Step-1: Prime Factorization of 73539

Prime factors of 73539 are 3, 8171. Prime factorization of 73539 in exponential form is:

73539 = 3² × 8171¹

Step-2: Prime Factorization of 73554

Prime factors of 73554 are 2, 3, 13, 23, 41. Prime factorization of 73554 in exponential form is:

73554 = 2¹ × 3¹ × 13¹ × 23¹ × 41¹

Step-3: Factors of 73539

List of positive integer factors of 73539 that divides 73539 without a remainder.

1, 3, 9, 8171, 24513

Step-4: Factors of 73554

List of positive integer factors of 73554 that divides 73539 without a remainder.

1, 2, 3, 6, 13, 23, 26, 39, 41, 46, 69, 78, 82, 123, 138, 246, 299, 533, 598, 897, 943, 1066, 1599, 1794, 1886, 2829, 3198, 5658, 12259, 24518, 36777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73539 and 73554. The biggest common factor number is the GCF number.
So the greatest common factor 73539 and 73554 is 3.

Also check out the Least Common Multiple of 73539 and 73554