What is the Greatest Common Factor of 73755 and 73764?

Greatest common factor (GCF) of 73755 and 73764 is 9.

GCF(73755,73764) = 9

We will now calculate the prime factors of 73755 and 73764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73755 and 73764.

How to find the GCF of 73755 and 73764?

We will first find the prime factorization of 73755 and 73764. After we will calculate the factors of 73755 and 73764 and find the biggest common factor number .

Step-1: Prime Factorization of 73755

Prime factors of 73755 are 3, 5, 11, 149. Prime factorization of 73755 in exponential form is:

73755 = 3² × 5¹ × 11¹ × 149¹

Step-2: Prime Factorization of 73764

Prime factors of 73764 are 2, 3, 683. Prime factorization of 73764 in exponential form is:

73764 = 2² × 3³ × 683¹

Step-3: Factors of 73755

List of positive integer factors of 73755 that divides 73755 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 149, 165, 447, 495, 745, 1341, 1639, 2235, 4917, 6705, 8195, 14751, 24585

Step-4: Factors of 73764

List of positive integer factors of 73764 that divides 73755 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 683, 1366, 2049, 2732, 4098, 6147, 8196, 12294, 18441, 24588, 36882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73755 and 73764. The biggest common factor number is the GCF number.
So the greatest common factor 73755 and 73764 is 9.

Also check out the Least Common Multiple of 73755 and 73764