What is the Greatest Common Factor of 52048 and 52066?

Greatest common factor (GCF) of 52048 and 52066 is 2.

GCF(52048,52066) = 2

We will now calculate the prime factors of 52048 and 52066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52048 and 52066.

How to find the GCF of 52048 and 52066?

We will first find the prime factorization of 52048 and 52066. After we will calculate the factors of 52048 and 52066 and find the biggest common factor number .

Step-1: Prime Factorization of 52048

Prime factors of 52048 are 2, 3253. Prime factorization of 52048 in exponential form is:

52048 = 2⁴ × 3253¹

Step-2: Prime Factorization of 52066

Prime factors of 52066 are 2, 7, 3719. Prime factorization of 52066 in exponential form is:

52066 = 2¹ × 7¹ × 3719¹

Step-3: Factors of 52048

List of positive integer factors of 52048 that divides 52048 without a remainder.

1, 2, 4, 8, 16, 3253, 6506, 13012, 26024

Step-4: Factors of 52066

List of positive integer factors of 52066 that divides 52048 without a remainder.

1, 2, 7, 14, 3719, 7438, 26033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52048 and 52066. The biggest common factor number is the GCF number.
So the greatest common factor 52048 and 52066 is 2.

Also check out the Least Common Multiple of 52048 and 52066