What is the Greatest Common Factor of 65234 and 65254?

Greatest common factor (GCF) of 65234 and 65254 is 2.

GCF(65234,65254) = 2

We will now calculate the prime factors of 65234 and 65254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65234 and 65254.

How to find the GCF of 65234 and 65254?

We will first find the prime factorization of 65234 and 65254. After we will calculate the factors of 65234 and 65254 and find the biggest common factor number .

Step-1: Prime Factorization of 65234

Prime factors of 65234 are 2, 13, 193. Prime factorization of 65234 in exponential form is:

65234 = 2¹ × 13² × 193¹

Step-2: Prime Factorization of 65254

Prime factors of 65254 are 2, 7, 59, 79. Prime factorization of 65254 in exponential form is:

65254 = 2¹ × 7¹ × 59¹ × 79¹

Step-3: Factors of 65234

List of positive integer factors of 65234 that divides 65234 without a remainder.

1, 2, 13, 26, 169, 193, 338, 386, 2509, 5018, 32617

Step-4: Factors of 65254

List of positive integer factors of 65254 that divides 65234 without a remainder.

1, 2, 7, 14, 59, 79, 118, 158, 413, 553, 826, 1106, 4661, 9322, 32627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65234 and 65254. The biggest common factor number is the GCF number.
So the greatest common factor 65234 and 65254 is 2.

Also check out the Least Common Multiple of 65234 and 65254