What is the Greatest Common Factor of 65482 and 65498?

Greatest common factor (GCF) of 65482 and 65498 is 2.

GCF(65482,65498) = 2

We will now calculate the prime factors of 65482 and 65498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65482 and 65498.

How to find the GCF of 65482 and 65498?

We will first find the prime factorization of 65482 and 65498. After we will calculate the factors of 65482 and 65498 and find the biggest common factor number .

Step-1: Prime Factorization of 65482

Prime factors of 65482 are 2, 29, 1129. Prime factorization of 65482 in exponential form is:

65482 = 2¹ × 29¹ × 1129¹

Step-2: Prime Factorization of 65498

Prime factors of 65498 are 2, 32749. Prime factorization of 65498 in exponential form is:

65498 = 2¹ × 32749¹

Step-3: Factors of 65482

List of positive integer factors of 65482 that divides 65482 without a remainder.

1, 2, 29, 58, 1129, 2258, 32741

Step-4: Factors of 65498

List of positive integer factors of 65498 that divides 65482 without a remainder.

1, 2, 32749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65482 and 65498. The biggest common factor number is the GCF number.
So the greatest common factor 65482 and 65498 is 2.

Also check out the Least Common Multiple of 65482 and 65498