What is the Greatest Common Factor of 73446 and 73452?

Greatest common factor (GCF) of 73446 and 73452 is 6.

GCF(73446,73452) = 6

We will now calculate the prime factors of 73446 and 73452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73446 and 73452.

How to find the GCF of 73446 and 73452?

We will first find the prime factorization of 73446 and 73452. After we will calculate the factors of 73446 and 73452 and find the biggest common factor number .

Step-1: Prime Factorization of 73446

Prime factors of 73446 are 2, 3, 12241. Prime factorization of 73446 in exponential form is:

73446 = 2¹ × 3¹ × 12241¹

Step-2: Prime Factorization of 73452

Prime factors of 73452 are 2, 3, 6121. Prime factorization of 73452 in exponential form is:

73452 = 2² × 3¹ × 6121¹

Step-3: Factors of 73446

List of positive integer factors of 73446 that divides 73446 without a remainder.

1, 2, 3, 6, 12241, 24482, 36723

Step-4: Factors of 73452

List of positive integer factors of 73452 that divides 73446 without a remainder.

1, 2, 3, 4, 6, 12, 6121, 12242, 18363, 24484, 36726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73446 and 73452. The biggest common factor number is the GCF number.
So the greatest common factor 73446 and 73452 is 6.

Also check out the Least Common Multiple of 73446 and 73452