What is the Greatest Common Factor of 44730 and 44750?

Greatest common factor (GCF) of 44730 and 44750 is 10.

GCF(44730,44750) = 10

We will now calculate the prime factors of 44730 and 44750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44730 and 44750.

How to find the GCF of 44730 and 44750?

We will first find the prime factorization of 44730 and 44750. After we will calculate the factors of 44730 and 44750 and find the biggest common factor number .

Step-1: Prime Factorization of 44730

Prime factors of 44730 are 2, 3, 5, 7, 71. Prime factorization of 44730 in exponential form is:

44730 = 2¹ × 3² × 5¹ × 7¹ × 71¹

Step-2: Prime Factorization of 44750

Prime factors of 44750 are 2, 5, 179. Prime factorization of 44750 in exponential form is:

44750 = 2¹ × 5³ × 179¹

Step-3: Factors of 44730

List of positive integer factors of 44730 that divides 44730 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 71, 90, 105, 126, 142, 210, 213, 315, 355, 426, 497, 630, 639, 710, 994, 1065, 1278, 1491, 2130, 2485, 2982, 3195, 4473, 4970, 6390, 7455, 8946, 14910, 22365

Step-4: Factors of 44750

List of positive integer factors of 44750 that divides 44730 without a remainder.

1, 2, 5, 10, 25, 50, 125, 179, 250, 358, 895, 1790, 4475, 8950, 22375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44730 and 44750. The biggest common factor number is the GCF number.
So the greatest common factor 44730 and 44750 is 10.

Also check out the Least Common Multiple of 44730 and 44750