What is the Greatest Common Factor of 64409 and 64424?

Greatest common factor (GCF) of 64409 and 64424 is 1.

GCF(64409,64424) = 1

We will now calculate the prime factors of 64409 and 64424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64409 and 64424.

How to find the GCF of 64409 and 64424?

We will first find the prime factorization of 64409 and 64424. After we will calculate the factors of 64409 and 64424 and find the biggest common factor number .

Step-1: Prime Factorization of 64409

Prime factors of 64409 are 29, 2221. Prime factorization of 64409 in exponential form is:

64409 = 29¹ × 2221¹

Step-2: Prime Factorization of 64424

Prime factors of 64424 are 2, 8053. Prime factorization of 64424 in exponential form is:

64424 = 2³ × 8053¹

Step-3: Factors of 64409

List of positive integer factors of 64409 that divides 64409 without a remainder.

1, 29, 2221

Step-4: Factors of 64424

List of positive integer factors of 64424 that divides 64409 without a remainder.

1, 2, 4, 8, 8053, 16106, 32212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64409 and 64424. The biggest common factor number is the GCF number.
So the greatest common factor 64409 and 64424 is 1.

Also check out the Least Common Multiple of 64409 and 64424