What is the Greatest Common Factor of 44837 and 44850?

Greatest common factor (GCF) of 44837 and 44850 is 13.

GCF(44837,44850) = 13

We will now calculate the prime factors of 44837 and 44850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44837 and 44850.

How to find the GCF of 44837 and 44850?

We will first find the prime factorization of 44837 and 44850. After we will calculate the factors of 44837 and 44850 and find the biggest common factor number .

Step-1: Prime Factorization of 44837

Prime factors of 44837 are 13, 3449. Prime factorization of 44837 in exponential form is:

44837 = 13¹ × 3449¹

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 44837

List of positive integer factors of 44837 that divides 44837 without a remainder.

1, 13, 3449

Step-4: Factors of 44850

List of positive integer factors of 44850 that divides 44837 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 44837 and 44850. The biggest common factor number is the GCF number.
So the greatest common factor 44837 and 44850 is 13.

Also check out the Least Common Multiple of 44837 and 44850