What is the Greatest Common Factor of 52002 and 52017?

Greatest common factor (GCF) of 52002 and 52017 is 3.

GCF(52002,52017) = 3

We will now calculate the prime factors of 52002 and 52017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52002 and 52017.

How to find the GCF of 52002 and 52017?

We will first find the prime factorization of 52002 and 52017. After we will calculate the factors of 52002 and 52017 and find the biggest common factor number .

Step-1: Prime Factorization of 52002

Prime factors of 52002 are 2, 3, 107. Prime factorization of 52002 in exponential form is:

52002 = 2¹ × 3⁵ × 107¹

Step-2: 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-3: Factors of 52002

List of positive integer factors of 52002 that divides 52002 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 107, 162, 214, 243, 321, 486, 642, 963, 1926, 2889, 5778, 8667, 17334, 26001

Step-4: Factors of 52017

List of positive integer factors of 52017 that divides 52002 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52002 and 52017. The biggest common factor number is the GCF number.
So the greatest common factor 52002 and 52017 is 3.

Also check out the Least Common Multiple of 52002 and 52017