What is the Greatest Common Factor of 52048 and 52056?

Greatest common factor (GCF) of 52048 and 52056 is 8.

GCF(52048,52056) = 8

We will now calculate the prime factors of 52048 and 52056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52048 and 52056.

How to find the GCF of 52048 and 52056?

We will first find the prime factorization of 52048 and 52056. After we will calculate the factors of 52048 and 52056 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 52056

Prime factors of 52056 are 2, 3, 241. Prime factorization of 52056 in exponential form is:

52056 = 2³ × 3³ × 241¹

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 52056

List of positive integer factors of 52056 that divides 52048 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 241, 482, 723, 964, 1446, 1928, 2169, 2892, 4338, 5784, 6507, 8676, 13014, 17352, 26028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52048 and 52056. The biggest common factor number is the GCF number.
So the greatest common factor 52048 and 52056 is 8.

Also check out the Least Common Multiple of 52048 and 52056