What is the Greatest Common Factor of 52017 and 52032?

Greatest common factor (GCF) of 52017 and 52032 is 3.

GCF(52017,52032) = 3

We will now calculate the prime factors of 52017 and 52032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52017 and 52032.

How to find the GCF of 52017 and 52032?

We will first find the prime factorization of 52017 and 52032. After we will calculate the factors of 52017 and 52032 and find the biggest common factor number .

Step-1: Prime Factorization of 52017

Prime factors of 52017 are 3, 7, 2477. Prime factorization of 52017 in exponential form is:

52017 = 3¹ × 7¹ × 2477¹

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 52017

List of positive integer factors of 52017 that divides 52017 without a remainder.

1, 3, 7, 21, 2477, 7431, 17339

Step-4: Factors of 52032

List of positive integer factors of 52032 that divides 52017 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 52017 and 52032. The biggest common factor number is the GCF number.
So the greatest common factor 52017 and 52032 is 3.

Also check out the Least Common Multiple of 52017 and 52032