What is the Greatest Common Factor of 44670 and 44680?

Greatest common factor (GCF) of 44670 and 44680 is 10.

GCF(44670,44680) = 10

We will now calculate the prime factors of 44670 and 44680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44670 and 44680.

How to find the GCF of 44670 and 44680?

We will first find the prime factorization of 44670 and 44680. After we will calculate the factors of 44670 and 44680 and find the biggest common factor number .

Step-1: Prime Factorization of 44670

Prime factors of 44670 are 2, 3, 5, 1489. Prime factorization of 44670 in exponential form is:

44670 = 2¹ × 3¹ × 5¹ × 1489¹

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 44670

List of positive integer factors of 44670 that divides 44670 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1489, 2978, 4467, 7445, 8934, 14890, 22335

Step-4: Factors of 44680

List of positive integer factors of 44680 that divides 44670 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 44670 and 44680. The biggest common factor number is the GCF number.
So the greatest common factor 44670 and 44680 is 10.

Also check out the Least Common Multiple of 44670 and 44680