What is the Greatest Common Factor of 44850 and 44859?

Greatest common factor (GCF) of 44850 and 44859 is 3.

GCF(44850,44859) = 3

We will now calculate the prime factors of 44850 and 44859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44850 and 44859.

How to find the GCF of 44850 and 44859?

We will first find the prime factorization of 44850 and 44859. After we will calculate the factors of 44850 and 44859 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 44859

Prime factors of 44859 are 3, 19, 787. Prime factorization of 44859 in exponential form is:

44859 = 3¹ × 19¹ × 787¹

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 44859

List of positive integer factors of 44859 that divides 44850 without a remainder.

1, 3, 19, 57, 787, 2361, 14953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44850 and 44859. The biggest common factor number is the GCF number.
So the greatest common factor 44850 and 44859 is 3.

Also check out the Least Common Multiple of 44850 and 44859