What is the Greatest Common Factor of 44838 and 44850?

Greatest common factor (GCF) of 44838 and 44850 is 6.

GCF(44838,44850) = 6

We will now calculate the prime factors of 44838 and 44850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44838 and 44850.

How to find the GCF of 44838 and 44850?

We will first find the prime factorization of 44838 and 44850. After we will calculate the factors of 44838 and 44850 and find the biggest common factor number .

Step-1: Prime Factorization of 44838

Prime factors of 44838 are 2, 3, 47, 53. Prime factorization of 44838 in exponential form is:

44838 = 2¹ × 3² × 47¹ × 53¹

Step-2: 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-3: Factors of 44838

List of positive integer factors of 44838 that divides 44838 without a remainder.

1, 2, 3, 6, 9, 18, 47, 53, 94, 106, 141, 159, 282, 318, 423, 477, 846, 954, 2491, 4982, 7473, 14946, 22419

Step-4: Factors of 44850

List of positive integer factors of 44850 that divides 44838 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44838 and 44850. The biggest common factor number is the GCF number.
So the greatest common factor 44838 and 44850 is 6.

Also check out the Least Common Multiple of 44838 and 44850