What is the Greatest Common Factor of 65242 and 65258?

Greatest common factor (GCF) of 65242 and 65258 is 2.

GCF(65242,65258) = 2

We will now calculate the prime factors of 65242 and 65258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65242 and 65258.

How to find the GCF of 65242 and 65258?

We will first find the prime factorization of 65242 and 65258. After we will calculate the factors of 65242 and 65258 and find the biggest common factor number .

Step-1: Prime Factorization of 65242

Prime factors of 65242 are 2, 32621. Prime factorization of 65242 in exponential form is:

65242 = 2¹ × 32621¹

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 65242

List of positive integer factors of 65242 that divides 65242 without a remainder.

1, 2, 32621

Step-4: Factors of 65258

List of positive integer factors of 65258 that divides 65242 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65242 and 65258. The biggest common factor number is the GCF number.
So the greatest common factor 65242 and 65258 is 2.

Also check out the Least Common Multiple of 65242 and 65258