What is the Greatest Common Factor of 53008 and 53024?

Greatest common factor (GCF) of 53008 and 53024 is 16.

GCF(53008,53024) = 16

We will now calculate the prime factors of 53008 and 53024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53008 and 53024.

How to find the GCF of 53008 and 53024?

We will first find the prime factorization of 53008 and 53024. After we will calculate the factors of 53008 and 53024 and find the biggest common factor number .

Step-1: Prime Factorization of 53008

Prime factors of 53008 are 2, 3313. Prime factorization of 53008 in exponential form is:

53008 = 2⁴ × 3313¹

Step-2: Prime Factorization of 53024

Prime factors of 53024 are 2, 1657. Prime factorization of 53024 in exponential form is:

53024 = 2⁵ × 1657¹

Step-3: Factors of 53008

List of positive integer factors of 53008 that divides 53008 without a remainder.

1, 2, 4, 8, 16, 3313, 6626, 13252, 26504

Step-4: Factors of 53024

List of positive integer factors of 53024 that divides 53008 without a remainder.

1, 2, 4, 8, 16, 32, 1657, 3314, 6628, 13256, 26512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53008 and 53024. The biggest common factor number is the GCF number.
So the greatest common factor 53008 and 53024 is 16.

Also check out the Least Common Multiple of 53008 and 53024