What is the Greatest Common Factor of 65341 and 65360?

Greatest common factor (GCF) of 65341 and 65360 is 19.

GCF(65341,65360) = 19

We will now calculate the prime factors of 65341 and 65360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65341 and 65360.

How to find the GCF of 65341 and 65360?

We will first find the prime factorization of 65341 and 65360. After we will calculate the factors of 65341 and 65360 and find the biggest common factor number .

Step-1: Prime Factorization of 65341

Prime factors of 65341 are 19, 181. Prime factorization of 65341 in exponential form is:

65341 = 19² × 181¹

Step-2: Prime Factorization of 65360

Prime factors of 65360 are 2, 5, 19, 43. Prime factorization of 65360 in exponential form is:

65360 = 2⁴ × 5¹ × 19¹ × 43¹

Step-3: Factors of 65341

List of positive integer factors of 65341 that divides 65341 without a remainder.

1, 19, 181, 361, 3439

Step-4: Factors of 65360

List of positive integer factors of 65360 that divides 65341 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 43, 76, 80, 86, 95, 152, 172, 190, 215, 304, 344, 380, 430, 688, 760, 817, 860, 1520, 1634, 1720, 3268, 3440, 4085, 6536, 8170, 13072, 16340, 32680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65341 and 65360. The biggest common factor number is the GCF number.
So the greatest common factor 65341 and 65360 is 19.

Also check out the Least Common Multiple of 65341 and 65360