What is the Greatest Common Factor of 65439 and 65448?

Greatest common factor (GCF) of 65439 and 65448 is 9.

GCF(65439,65448) = 9

We will now calculate the prime factors of 65439 and 65448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65439 and 65448.

How to find the GCF of 65439 and 65448?

We will first find the prime factorization of 65439 and 65448. After we will calculate the factors of 65439 and 65448 and find the biggest common factor number .

Step-1: Prime Factorization of 65439

Prime factors of 65439 are 3, 11, 661. Prime factorization of 65439 in exponential form is:

65439 = 3² × 11¹ × 661¹

Step-2: Prime Factorization of 65448

Prime factors of 65448 are 2, 3, 101. Prime factorization of 65448 in exponential form is:

65448 = 2³ × 3⁴ × 101¹

Step-3: Factors of 65439

List of positive integer factors of 65439 that divides 65439 without a remainder.

1, 3, 9, 11, 33, 99, 661, 1983, 5949, 7271, 21813

Step-4: Factors of 65448

List of positive integer factors of 65448 that divides 65439 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 101, 108, 162, 202, 216, 303, 324, 404, 606, 648, 808, 909, 1212, 1818, 2424, 2727, 3636, 5454, 7272, 8181, 10908, 16362, 21816, 32724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65439 and 65448. The biggest common factor number is the GCF number.
So the greatest common factor 65439 and 65448 is 9.

Also check out the Least Common Multiple of 65439 and 65448