What is the Greatest Common Factor of 65234 and 65238?

Greatest common factor (GCF) of 65234 and 65238 is 2.

GCF(65234,65238) = 2

We will now calculate the prime factors of 65234 and 65238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65234 and 65238.

How to find the GCF of 65234 and 65238?

We will first find the prime factorization of 65234 and 65238. After we will calculate the factors of 65234 and 65238 and find the biggest common factor number .

Step-1: Prime Factorization of 65234

Prime factors of 65234 are 2, 13, 193. Prime factorization of 65234 in exponential form is:

65234 = 2¹ × 13² × 193¹

Step-2: 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-3: Factors of 65234

List of positive integer factors of 65234 that divides 65234 without a remainder.

1, 2, 13, 26, 169, 193, 338, 386, 2509, 5018, 32617

Step-4: Factors of 65238

List of positive integer factors of 65238 that divides 65234 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65234 and 65238. The biggest common factor number is the GCF number.
So the greatest common factor 65234 and 65238 is 2.

Also check out the Least Common Multiple of 65234 and 65238