What is the Greatest Common Factor of 65360 and 65379?

Greatest common factor (GCF) of 65360 and 65379 is 19.

GCF(65360,65379) = 19

We will now calculate the prime factors of 65360 and 65379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65360 and 65379.

How to find the GCF of 65360 and 65379?

We will first find the prime factorization of 65360 and 65379. After we will calculate the factors of 65360 and 65379 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65379

Prime factors of 65379 are 3, 19, 31, 37. Prime factorization of 65379 in exponential form is:

65379 = 3¹ × 19¹ × 31¹ × 37¹

Step-3: Factors of 65360

List of positive integer factors of 65360 that divides 65360 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

Step-4: Factors of 65379

List of positive integer factors of 65379 that divides 65360 without a remainder.

1, 3, 19, 31, 37, 57, 93, 111, 589, 703, 1147, 1767, 2109, 3441, 21793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65360 and 65379. The biggest common factor number is the GCF number.
So the greatest common factor 65360 and 65379 is 19.

Also check out the Least Common Multiple of 65360 and 65379