What is the Greatest Common Factor of 44840 and 44850?

Greatest common factor (GCF) of 44840 and 44850 is 10.

GCF(44840,44850) = 10

We will now calculate the prime factors of 44840 and 44850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44840 and 44850.

How to find the GCF of 44840 and 44850?

We will first find the prime factorization of 44840 and 44850. After we will calculate the factors of 44840 and 44850 and find the biggest common factor number .

Step-1: Prime Factorization of 44840

Prime factors of 44840 are 2, 5, 19, 59. Prime factorization of 44840 in exponential form is:

44840 = 2³ × 5¹ × 19¹ × 59¹

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 44840

List of positive integer factors of 44840 that divides 44840 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 59, 76, 95, 118, 152, 190, 236, 295, 380, 472, 590, 760, 1121, 1180, 2242, 2360, 4484, 5605, 8968, 11210, 22420

Step-4: Factors of 44850

List of positive integer factors of 44850 that divides 44840 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 44840 and 44850. The biggest common factor number is the GCF number.
So the greatest common factor 44840 and 44850 is 10.

Also check out the Least Common Multiple of 44840 and 44850