What is the Greatest Common Factor of 64405 and 64416?

Greatest common factor (GCF) of 64405 and 64416 is 11.

GCF(64405,64416) = 11

We will now calculate the prime factors of 64405 and 64416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64405 and 64416.

How to find the GCF of 64405 and 64416?

We will first find the prime factorization of 64405 and 64416. After we will calculate the factors of 64405 and 64416 and find the biggest common factor number .

Step-1: Prime Factorization of 64405

Prime factors of 64405 are 5, 11, 1171. Prime factorization of 64405 in exponential form is:

64405 = 5¹ × 11¹ × 1171¹

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 64405

List of positive integer factors of 64405 that divides 64405 without a remainder.

1, 5, 11, 55, 1171, 5855, 12881

Step-4: Factors of 64416

List of positive integer factors of 64416 that divides 64405 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 64405 and 64416. The biggest common factor number is the GCF number.
So the greatest common factor 64405 and 64416 is 11.

Also check out the Least Common Multiple of 64405 and 64416