What is the Greatest Common Factor of 64409 and 64416?

Greatest common factor (GCF) of 64409 and 64416 is 1.

GCF(64409,64416) = 1

We will now calculate the prime factors of 64409 and 64416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64409 and 64416.

How to find the GCF of 64409 and 64416?

We will first find the prime factorization of 64409 and 64416. After we will calculate the factors of 64409 and 64416 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 64416

Prime factors of 64416 are 2, 3, 11, 61. Prime factorization of 64416 in exponential form is:

64416 = 2⁵ × 3¹ × 11¹ × 61¹

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 64416

List of positive integer factors of 64416 that divides 64409 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 61, 66, 88, 96, 122, 132, 176, 183, 244, 264, 352, 366, 488, 528, 671, 732, 976, 1056, 1342, 1464, 1952, 2013, 2684, 2928, 4026, 5368, 5856, 8052, 10736, 16104, 21472, 32208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64409 and 64416. The biggest common factor number is the GCF number.
So the greatest common factor 64409 and 64416 is 1.

Also check out the Least Common Multiple of 64409 and 64416