What is the Greatest Common Factor of 65248 and 65253?

Greatest common factor (GCF) of 65248 and 65253 is 1.

GCF(65248,65253) = 1

We will now calculate the prime factors of 65248 and 65253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65248 and 65253.

How to find the GCF of 65248 and 65253?

We will first find the prime factorization of 65248 and 65253. After we will calculate the factors of 65248 and 65253 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 65253

Prime factors of 65253 are 3, 21751. Prime factorization of 65253 in exponential form is:

65253 = 3¹ × 21751¹

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 65253

List of positive integer factors of 65253 that divides 65248 without a remainder.

1, 3, 21751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65248 and 65253. The biggest common factor number is the GCF number.
So the greatest common factor 65248 and 65253 is 1.

Also check out the Least Common Multiple of 65248 and 65253