What is the Greatest Common Factor of 44660 and 44680?

Greatest common factor (GCF) of 44660 and 44680 is 20.

GCF(44660,44680) = 20

We will now calculate the prime factors of 44660 and 44680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44660 and 44680.

How to find the GCF of 44660 and 44680?

We will first find the prime factorization of 44660 and 44680. After we will calculate the factors of 44660 and 44680 and find the biggest common factor number .

Step-1: Prime Factorization of 44660

Prime factors of 44660 are 2, 5, 7, 11, 29. Prime factorization of 44660 in exponential form is:

44660 = 2² × 5¹ × 7¹ × 11¹ × 29¹

Step-2: Prime Factorization of 44680

Prime factors of 44680 are 2, 5, 1117. Prime factorization of 44680 in exponential form is:

44680 = 2³ × 5¹ × 1117¹

Step-3: Factors of 44660

List of positive integer factors of 44660 that divides 44660 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 29, 35, 44, 55, 58, 70, 77, 110, 116, 140, 145, 154, 203, 220, 290, 308, 319, 385, 406, 580, 638, 770, 812, 1015, 1276, 1540, 1595, 2030, 2233, 3190, 4060, 4466, 6380, 8932, 11165, 22330

Step-4: Factors of 44680

List of positive integer factors of 44680 that divides 44660 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1117, 2234, 4468, 5585, 8936, 11170, 22340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44660 and 44680. The biggest common factor number is the GCF number.
So the greatest common factor 44660 and 44680 is 20.

Also check out the Least Common Multiple of 44660 and 44680