What is the Greatest Common Factor of 64096 and 64100?

Greatest common factor (GCF) of 64096 and 64100 is 4.

GCF(64096,64100) = 4

We will now calculate the prime factors of 64096 and 64100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64096 and 64100.

How to find the GCF of 64096 and 64100?

We will first find the prime factorization of 64096 and 64100. After we will calculate the factors of 64096 and 64100 and find the biggest common factor number .

Step-1: Prime Factorization of 64096

Prime factors of 64096 are 2, 2003. Prime factorization of 64096 in exponential form is:

64096 = 2⁵ × 2003¹

Step-2: Prime Factorization of 64100

Prime factors of 64100 are 2, 5, 641. Prime factorization of 64100 in exponential form is:

64100 = 2² × 5² × 641¹

Step-3: Factors of 64096

List of positive integer factors of 64096 that divides 64096 without a remainder.

1, 2, 4, 8, 16, 32, 2003, 4006, 8012, 16024, 32048

Step-4: Factors of 64100

List of positive integer factors of 64100 that divides 64096 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 641, 1282, 2564, 3205, 6410, 12820, 16025, 32050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64096 and 64100. The biggest common factor number is the GCF number.
So the greatest common factor 64096 and 64100 is 4.

Also check out the Least Common Multiple of 64096 and 64100