What is the Greatest Common Factor of 52016 and 52032?

Greatest common factor (GCF) of 52016 and 52032 is 16.

GCF(52016,52032) = 16

We will now calculate the prime factors of 52016 and 52032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52016 and 52032.

How to find the GCF of 52016 and 52032?

We will first find the prime factorization of 52016 and 52032. After we will calculate the factors of 52016 and 52032 and find the biggest common factor number .

Step-1: Prime Factorization of 52016

Prime factors of 52016 are 2, 3251. Prime factorization of 52016 in exponential form is:

52016 = 2⁴ × 3251¹

Step-2: Prime Factorization of 52032

Prime factors of 52032 are 2, 3, 271. Prime factorization of 52032 in exponential form is:

52032 = 2⁶ × 3¹ × 271¹

Step-3: Factors of 52016

List of positive integer factors of 52016 that divides 52016 without a remainder.

1, 2, 4, 8, 16, 3251, 6502, 13004, 26008

Step-4: Factors of 52032

List of positive integer factors of 52032 that divides 52016 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 271, 542, 813, 1084, 1626, 2168, 3252, 4336, 6504, 8672, 13008, 17344, 26016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52016 and 52032. The biggest common factor number is the GCF number.
So the greatest common factor 52016 and 52032 is 16.

Also check out the Least Common Multiple of 52016 and 52032