What is the Greatest Common Factor of 65248 and 65266?

Greatest common factor (GCF) of 65248 and 65266 is 2.

GCF(65248,65266) = 2

We will now calculate the prime factors of 65248 and 65266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65248 and 65266.

How to find the GCF of 65248 and 65266?

We will first find the prime factorization of 65248 and 65266. After we will calculate the factors of 65248 and 65266 and find the biggest common factor number .

Step-1: Prime Factorization of 65248

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

65248 = 2⁵ × 2039¹

Step-2: Prime Factorization of 65266

Prime factors of 65266 are 2, 32633. Prime factorization of 65266 in exponential form is:

65266 = 2¹ × 32633¹

Step-3: Factors of 65248

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

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

Step-4: Factors of 65266

List of positive integer factors of 65266 that divides 65248 without a remainder.

1, 2, 32633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65248 and 65266. The biggest common factor number is the GCF number.
So the greatest common factor 65248 and 65266 is 2.

Also check out the Least Common Multiple of 65248 and 65266