What is the Greatest Common Factor of 65241 and 65253?

Greatest common factor (GCF) of 65241 and 65253 is 3.

GCF(65241,65253) = 3

We will now calculate the prime factors of 65241 and 65253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65241 and 65253.

How to find the GCF of 65241 and 65253?

We will first find the prime factorization of 65241 and 65253. After we will calculate the factors of 65241 and 65253 and find the biggest common factor number .

Step-1: Prime Factorization of 65241

Prime factors of 65241 are 3, 11, 659. Prime factorization of 65241 in exponential form is:

65241 = 3² × 11¹ × 659¹

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 65241

List of positive integer factors of 65241 that divides 65241 without a remainder.

1, 3, 9, 11, 33, 99, 659, 1977, 5931, 7249, 21747

Step-4: Factors of 65253

List of positive integer factors of 65253 that divides 65241 without a remainder.

1, 3, 21751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65241 and 65253. The biggest common factor number is the GCF number.
So the greatest common factor 65241 and 65253 is 3.

Also check out the Least Common Multiple of 65241 and 65253