What is the Greatest Common Factor of 65013 and 65028?

Greatest common factor (GCF) of 65013 and 65028 is 3.

GCF(65013,65028) = 3

We will now calculate the prime factors of 65013 and 65028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65013 and 65028.

How to find the GCF of 65013 and 65028?

We will first find the prime factorization of 65013 and 65028. After we will calculate the factors of 65013 and 65028 and find the biggest common factor number .

Step-1: Prime Factorization of 65013

Prime factors of 65013 are 3, 13, 1667. Prime factorization of 65013 in exponential form is:

65013 = 3¹ × 13¹ × 1667¹

Step-2: Prime Factorization of 65028

Prime factors of 65028 are 2, 3, 5419. Prime factorization of 65028 in exponential form is:

65028 = 2² × 3¹ × 5419¹

Step-3: Factors of 65013

List of positive integer factors of 65013 that divides 65013 without a remainder.

1, 3, 13, 39, 1667, 5001, 21671

Step-4: Factors of 65028

List of positive integer factors of 65028 that divides 65013 without a remainder.

1, 2, 3, 4, 6, 12, 5419, 10838, 16257, 21676, 32514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65013 and 65028. The biggest common factor number is the GCF number.
So the greatest common factor 65013 and 65028 is 3.

Also check out the Least Common Multiple of 65013 and 65028