What is the Greatest Common Factor of 65028 and 65036?

Greatest common factor (GCF) of 65028 and 65036 is 4.

GCF(65028,65036) = 4

We will now calculate the prime factors of 65028 and 65036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65028 and 65036.

How to find the GCF of 65028 and 65036?

We will first find the prime factorization of 65028 and 65036. After we will calculate the factors of 65028 and 65036 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65036

Prime factors of 65036 are 2, 71, 229. Prime factorization of 65036 in exponential form is:

65036 = 2² × 71¹ × 229¹

Step-3: Factors of 65028

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

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

Step-4: Factors of 65036

List of positive integer factors of 65036 that divides 65028 without a remainder.

1, 2, 4, 71, 142, 229, 284, 458, 916, 16259, 32518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65028 and 65036. The biggest common factor number is the GCF number.
So the greatest common factor 65028 and 65036 is 4.

Also check out the Least Common Multiple of 65028 and 65036