What is the Greatest Common Factor of 44500 and 44515?

Greatest common factor (GCF) of 44500 and 44515 is 5.

GCF(44500,44515) = 5

We will now calculate the prime factors of 44500 and 44515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44500 and 44515.

How to find the GCF of 44500 and 44515?

We will first find the prime factorization of 44500 and 44515. After we will calculate the factors of 44500 and 44515 and find the biggest common factor number .

Step-1: Prime Factorization of 44500

Prime factors of 44500 are 2, 5, 89. Prime factorization of 44500 in exponential form is:

44500 = 2² × 5³ × 89¹

Step-2: Prime Factorization of 44515

Prime factors of 44515 are 5, 29, 307. Prime factorization of 44515 in exponential form is:

44515 = 5¹ × 29¹ × 307¹

Step-3: Factors of 44500

List of positive integer factors of 44500 that divides 44500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 89, 100, 125, 178, 250, 356, 445, 500, 890, 1780, 2225, 4450, 8900, 11125, 22250

Step-4: Factors of 44515

List of positive integer factors of 44515 that divides 44500 without a remainder.

1, 5, 29, 145, 307, 1535, 8903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44500 and 44515. The biggest common factor number is the GCF number.
So the greatest common factor 44500 and 44515 is 5.

Also check out the Least Common Multiple of 44500 and 44515