What is the Greatest Common Factor of 44760 and 44775?

Greatest common factor (GCF) of 44760 and 44775 is 15.

GCF(44760,44775) = 15

We will now calculate the prime factors of 44760 and 44775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44760 and 44775.

How to find the GCF of 44760 and 44775?

We will first find the prime factorization of 44760 and 44775. After we will calculate the factors of 44760 and 44775 and find the biggest common factor number .

Step-1: Prime Factorization of 44760

Prime factors of 44760 are 2, 3, 5, 373. Prime factorization of 44760 in exponential form is:

44760 = 2³ × 3¹ × 5¹ × 373¹

Step-2: Prime Factorization of 44775

Prime factors of 44775 are 3, 5, 199. Prime factorization of 44775 in exponential form is:

44775 = 3² × 5² × 199¹

Step-3: Factors of 44760

List of positive integer factors of 44760 that divides 44760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 373, 746, 1119, 1492, 1865, 2238, 2984, 3730, 4476, 5595, 7460, 8952, 11190, 14920, 22380

Step-4: Factors of 44775

List of positive integer factors of 44775 that divides 44760 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 199, 225, 597, 995, 1791, 2985, 4975, 8955, 14925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44760 and 44775. The biggest common factor number is the GCF number.
So the greatest common factor 44760 and 44775 is 15.

Also check out the Least Common Multiple of 44760 and 44775