What is the Greatest Common Factor of 46075 and 46080?

Greatest common factor (GCF) of 46075 and 46080 is 5.

GCF(46075,46080) = 5

We will now calculate the prime factors of 46075 and 46080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46075 and 46080.

How to find the GCF of 46075 and 46080?

We will first find the prime factorization of 46075 and 46080. After we will calculate the factors of 46075 and 46080 and find the biggest common factor number .

Step-1: Prime Factorization of 46075

Prime factors of 46075 are 5, 19, 97. Prime factorization of 46075 in exponential form is:

46075 = 5² × 19¹ × 97¹

Step-2: Prime Factorization of 46080

Prime factors of 46080 are 2, 3, 5. Prime factorization of 46080 in exponential form is:

46080 = 2¹⁰ × 3² × 5¹

Step-3: Factors of 46075

List of positive integer factors of 46075 that divides 46075 without a remainder.

1, 5, 19, 25, 95, 97, 475, 485, 1843, 2425, 9215

Step-4: Factors of 46080

List of positive integer factors of 46080 that divides 46075 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 128, 144, 160, 180, 192, 240, 256, 288, 320, 360, 384, 480, 512, 576, 640, 720, 768, 960, 1024, 1152, 1280, 1440, 1536, 1920, 2304, 2560, 2880, 3072, 3840, 4608, 5120, 5760, 7680, 9216, 11520, 15360, 23040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46075 and 46080. The biggest common factor number is the GCF number.
So the greatest common factor 46075 and 46080 is 5.

Also check out the Least Common Multiple of 46075 and 46080