What is the Greatest Common Factor of 65238 and 65244?

Greatest common factor (GCF) of 65238 and 65244 is 6.

GCF(65238,65244) = 6

We will now calculate the prime factors of 65238 and 65244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65238 and 65244.

How to find the GCF of 65238 and 65244?

We will first find the prime factorization of 65238 and 65244. After we will calculate the factors of 65238 and 65244 and find the biggest common factor number .

Step-1: Prime Factorization of 65238

Prime factors of 65238 are 2, 3, 83, 131. Prime factorization of 65238 in exponential form is:

65238 = 2¹ × 3¹ × 83¹ × 131¹

Step-2: Prime Factorization of 65244

Prime factors of 65244 are 2, 3, 5437. Prime factorization of 65244 in exponential form is:

65244 = 2² × 3¹ × 5437¹

Step-3: Factors of 65238

List of positive integer factors of 65238 that divides 65238 without a remainder.

1, 2, 3, 6, 83, 131, 166, 249, 262, 393, 498, 786, 10873, 21746, 32619

Step-4: Factors of 65244

List of positive integer factors of 65244 that divides 65238 without a remainder.

1, 2, 3, 4, 6, 12, 5437, 10874, 16311, 21748, 32622

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65238 and 65244. The biggest common factor number is the GCF number.
So the greatest common factor 65238 and 65244 is 6.

Also check out the Least Common Multiple of 65238 and 65244