What is the Greatest Common Factor of 44850 and 44865?

Greatest common factor (GCF) of 44850 and 44865 is 15.

GCF(44850,44865) = 15

We will now calculate the prime factors of 44850 and 44865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44850 and 44865.

How to find the GCF of 44850 and 44865?

We will first find the prime factorization of 44850 and 44865. After we will calculate the factors of 44850 and 44865 and find the biggest common factor number .

Step-1: Prime Factorization of 44850

Prime factors of 44850 are 2, 3, 5, 13, 23. Prime factorization of 44850 in exponential form is:

44850 = 2¹ × 3¹ × 5² × 13¹ × 23¹

Step-2: Prime Factorization of 44865

Prime factors of 44865 are 3, 5, 997. Prime factorization of 44865 in exponential form is:

44865 = 3² × 5¹ × 997¹

Step-3: Factors of 44850

List of positive integer factors of 44850 that divides 44850 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 23, 25, 26, 30, 39, 46, 50, 65, 69, 75, 78, 115, 130, 138, 150, 195, 230, 299, 325, 345, 390, 575, 598, 650, 690, 897, 975, 1150, 1495, 1725, 1794, 1950, 2990, 3450, 4485, 7475, 8970, 14950, 22425

Step-4: Factors of 44865

List of positive integer factors of 44865 that divides 44850 without a remainder.

1, 3, 5, 9, 15, 45, 997, 2991, 4985, 8973, 14955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44850 and 44865. The biggest common factor number is the GCF number.
So the greatest common factor 44850 and 44865 is 15.

Also check out the Least Common Multiple of 44850 and 44865