What is the Greatest Common Factor of 65241 and 65258?

Greatest common factor (GCF) of 65241 and 65258 is 1.

GCF(65241,65258) = 1

We will now calculate the prime factors of 65241 and 65258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65241 and 65258.

How to find the GCF of 65241 and 65258?

We will first find the prime factorization of 65241 and 65258. After we will calculate the factors of 65241 and 65258 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 65258

Prime factors of 65258 are 2, 67, 487. Prime factorization of 65258 in exponential form is:

65258 = 2¹ × 67¹ × 487¹

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 65258

List of positive integer factors of 65258 that divides 65241 without a remainder.

1, 2, 67, 134, 487, 974, 32629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65241 and 65258. The biggest common factor number is the GCF number.
So the greatest common factor 65241 and 65258 is 1.

Also check out the Least Common Multiple of 65241 and 65258