What is the Greatest Common Factor of 48044 and 48062?

Greatest common factor (GCF) of 48044 and 48062 is 2.

GCF(48044,48062) = 2

We will now calculate the prime factors of 48044 and 48062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48044 and 48062.

How to find the GCF of 48044 and 48062?

We will first find the prime factorization of 48044 and 48062. After we will calculate the factors of 48044 and 48062 and find the biggest common factor number .

Step-1: Prime Factorization of 48044

Prime factors of 48044 are 2, 12011. Prime factorization of 48044 in exponential form is:

48044 = 2² × 12011¹

Step-2: Prime Factorization of 48062

Prime factors of 48062 are 2, 7, 3433. Prime factorization of 48062 in exponential form is:

48062 = 2¹ × 7¹ × 3433¹

Step-3: Factors of 48044

List of positive integer factors of 48044 that divides 48044 without a remainder.

1, 2, 4, 12011, 24022

Step-4: Factors of 48062

List of positive integer factors of 48062 that divides 48044 without a remainder.

1, 2, 7, 14, 3433, 6866, 24031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48044 and 48062. The biggest common factor number is the GCF number.
So the greatest common factor 48044 and 48062 is 2.

Also check out the Least Common Multiple of 48044 and 48062