What is the Greatest Common Factor of 65226 and 65241?

Greatest common factor (GCF) of 65226 and 65241 is 3.

GCF(65226,65241) = 3

We will now calculate the prime factors of 65226 and 65241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65226 and 65241.

How to find the GCF of 65226 and 65241?

We will first find the prime factorization of 65226 and 65241. After we will calculate the factors of 65226 and 65241 and find the biggest common factor number .

Step-1: Prime Factorization of 65226

Prime factors of 65226 are 2, 3, 7, 1553. Prime factorization of 65226 in exponential form is:

65226 = 2¹ × 3¹ × 7¹ × 1553¹

Step-2: 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-3: Factors of 65226

List of positive integer factors of 65226 that divides 65226 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1553, 3106, 4659, 9318, 10871, 21742, 32613

Step-4: Factors of 65241

List of positive integer factors of 65241 that divides 65226 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65226 and 65241. The biggest common factor number is the GCF number.
So the greatest common factor 65226 and 65241 is 3.

Also check out the Least Common Multiple of 65226 and 65241