What is the Greatest Common Factor of 44052 and 44067?

Greatest common factor (GCF) of 44052 and 44067 is 3.

GCF(44052,44067) = 3

We will now calculate the prime factors of 44052 and 44067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44052 and 44067.

How to find the GCF of 44052 and 44067?

We will first find the prime factorization of 44052 and 44067. After we will calculate the factors of 44052 and 44067 and find the biggest common factor number .

Step-1: Prime Factorization of 44052

Prime factors of 44052 are 2, 3, 3671. Prime factorization of 44052 in exponential form is:

44052 = 2² × 3¹ × 3671¹

Step-2: Prime Factorization of 44067

Prime factors of 44067 are 3, 37, 397. Prime factorization of 44067 in exponential form is:

44067 = 3¹ × 37¹ × 397¹

Step-3: Factors of 44052

List of positive integer factors of 44052 that divides 44052 without a remainder.

1, 2, 3, 4, 6, 12, 3671, 7342, 11013, 14684, 22026

Step-4: Factors of 44067

List of positive integer factors of 44067 that divides 44052 without a remainder.

1, 3, 37, 111, 397, 1191, 14689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44052 and 44067. The biggest common factor number is the GCF number.
So the greatest common factor 44052 and 44067 is 3.

Also check out the Least Common Multiple of 44052 and 44067