What is the Greatest Common Factor of 64416 and 64434?

Greatest common factor (GCF) of 64416 and 64434 is 6.

GCF(64416,64434) = 6

We will now calculate the prime factors of 64416 and 64434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64416 and 64434.

How to find the GCF of 64416 and 64434?

We will first find the prime factorization of 64416 and 64434. After we will calculate the factors of 64416 and 64434 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64434

Prime factors of 64434 are 2, 3, 10739. Prime factorization of 64434 in exponential form is:

64434 = 2¹ × 3¹ × 10739¹

Step-3: Factors of 64416

List of positive integer factors of 64416 that divides 64416 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

Step-4: Factors of 64434

List of positive integer factors of 64434 that divides 64416 without a remainder.

1, 2, 3, 6, 10739, 21478, 32217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64416 and 64434. The biggest common factor number is the GCF number.
So the greatest common factor 64416 and 64434 is 6.

Also check out the Least Common Multiple of 64416 and 64434