What is the Greatest Common Factor of 44650 and 44670?

Greatest common factor (GCF) of 44650 and 44670 is 10.

GCF(44650,44670) = 10

We will now calculate the prime factors of 44650 and 44670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44650 and 44670.

How to find the GCF of 44650 and 44670?

We will first find the prime factorization of 44650 and 44670. After we will calculate the factors of 44650 and 44670 and find the biggest common factor number .

Step-1: Prime Factorization of 44650

Prime factors of 44650 are 2, 5, 19, 47. Prime factorization of 44650 in exponential form is:

44650 = 2¹ × 5² × 19¹ × 47¹

Step-2: 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-3: Factors of 44650

List of positive integer factors of 44650 that divides 44650 without a remainder.

1, 2, 5, 10, 19, 25, 38, 47, 50, 94, 95, 190, 235, 470, 475, 893, 950, 1175, 1786, 2350, 4465, 8930, 22325

Step-4: Factors of 44670

List of positive integer factors of 44670 that divides 44650 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44650 and 44670. The biggest common factor number is the GCF number.
So the greatest common factor 44650 and 44670 is 10.

Also check out the Least Common Multiple of 44650 and 44670