What is the Greatest Common Factor of 64080 and 64096?

Greatest common factor (GCF) of 64080 and 64096 is 16.

GCF(64080,64096) = 16

We will now calculate the prime factors of 64080 and 64096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64080 and 64096.

How to find the GCF of 64080 and 64096?

We will first find the prime factorization of 64080 and 64096. After we will calculate the factors of 64080 and 64096 and find the biggest common factor number .

Step-1: Prime Factorization of 64080

Prime factors of 64080 are 2, 3, 5, 89. Prime factorization of 64080 in exponential form is:

64080 = 2⁴ × 3² × 5¹ × 89¹

Step-2: Prime Factorization of 64096

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

64096 = 2⁵ × 2003¹

Step-3: Factors of 64080

List of positive integer factors of 64080 that divides 64080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 89, 90, 120, 144, 178, 180, 240, 267, 356, 360, 445, 534, 712, 720, 801, 890, 1068, 1335, 1424, 1602, 1780, 2136, 2670, 3204, 3560, 4005, 4272, 5340, 6408, 7120, 8010, 10680, 12816, 16020, 21360, 32040

Step-4: Factors of 64096

List of positive integer factors of 64096 that divides 64080 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64080 and 64096. The biggest common factor number is the GCF number.
So the greatest common factor 64080 and 64096 is 16.

Also check out the Least Common Multiple of 64080 and 64096