What is the Greatest Common Factor of 44745 and 44760?

Greatest common factor (GCF) of 44745 and 44760 is 15.

GCF(44745,44760) = 15

We will now calculate the prime factors of 44745 and 44760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44745 and 44760.

How to find the GCF of 44745 and 44760?

We will first find the prime factorization of 44745 and 44760. After we will calculate the factors of 44745 and 44760 and find the biggest common factor number .

Step-1: Prime Factorization of 44745

Prime factors of 44745 are 3, 5, 19, 157. Prime factorization of 44745 in exponential form is:

44745 = 3¹ × 5¹ × 19¹ × 157¹

Step-2: 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-3: Factors of 44745

List of positive integer factors of 44745 that divides 44745 without a remainder.

1, 3, 5, 15, 19, 57, 95, 157, 285, 471, 785, 2355, 2983, 8949, 14915

Step-4: Factors of 44760

List of positive integer factors of 44760 that divides 44745 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44745 and 44760. The biggest common factor number is the GCF number.
So the greatest common factor 44745 and 44760 is 15.

Also check out the Least Common Multiple of 44745 and 44760