What is the Greatest Common Factor of 65234 and 65248?

Greatest common factor (GCF) of 65234 and 65248 is 2.

GCF(65234,65248) = 2

We will now calculate the prime factors of 65234 and 65248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65234 and 65248.

How to find the GCF of 65234 and 65248?

We will first find the prime factorization of 65234 and 65248. After we will calculate the factors of 65234 and 65248 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 65248

Prime factors of 65248 are 2, 2039. Prime factorization of 65248 in exponential form is:

65248 = 2⁵ × 2039¹

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 65248

List of positive integer factors of 65248 that divides 65234 without a remainder.

1, 2, 4, 8, 16, 32, 2039, 4078, 8156, 16312, 32624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65234 and 65248. The biggest common factor number is the GCF number.
So the greatest common factor 65234 and 65248 is 2.

Also check out the Least Common Multiple of 65234 and 65248