What is the Greatest Common Factor of 44680 and 44690?

Greatest common factor (GCF) of 44680 and 44690 is 10.

GCF(44680,44690) = 10

We will now calculate the prime factors of 44680 and 44690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44680 and 44690.

How to find the GCF of 44680 and 44690?

We will first find the prime factorization of 44680 and 44690. After we will calculate the factors of 44680 and 44690 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44690

Prime factors of 44690 are 2, 5, 41, 109. Prime factorization of 44690 in exponential form is:

44690 = 2¹ × 5¹ × 41¹ × 109¹

Step-3: Factors of 44680

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

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

Step-4: Factors of 44690

List of positive integer factors of 44690 that divides 44680 without a remainder.

1, 2, 5, 10, 41, 82, 109, 205, 218, 410, 545, 1090, 4469, 8938, 22345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44680 and 44690. The biggest common factor number is the GCF number.
So the greatest common factor 44680 and 44690 is 10.

Also check out the Least Common Multiple of 44680 and 44690