What is the Greatest Common Factor of 73524 and 73536?

Greatest common factor (GCF) of 73524 and 73536 is 12.

GCF(73524,73536) = 12

We will now calculate the prime factors of 73524 and 73536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73524 and 73536.

How to find the GCF of 73524 and 73536?

We will first find the prime factorization of 73524 and 73536. After we will calculate the factors of 73524 and 73536 and find the biggest common factor number .

Step-1: Prime Factorization of 73524

Prime factors of 73524 are 2, 3, 11, 557. Prime factorization of 73524 in exponential form is:

73524 = 2² × 3¹ × 11¹ × 557¹

Step-2: Prime Factorization of 73536

Prime factors of 73536 are 2, 3, 383. Prime factorization of 73536 in exponential form is:

73536 = 2⁶ × 3¹ × 383¹

Step-3: Factors of 73524

List of positive integer factors of 73524 that divides 73524 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 557, 1114, 1671, 2228, 3342, 6127, 6684, 12254, 18381, 24508, 36762

Step-4: Factors of 73536

List of positive integer factors of 73536 that divides 73524 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 383, 766, 1149, 1532, 2298, 3064, 4596, 6128, 9192, 12256, 18384, 24512, 36768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73524 and 73536. The biggest common factor number is the GCF number.
So the greatest common factor 73524 and 73536 is 12.

Also check out the Least Common Multiple of 73524 and 73536