What is the Greatest Common Factor of 44750 and 44770?

Greatest common factor (GCF) of 44750 and 44770 is 10.

GCF(44750,44770) = 10

We will now calculate the prime factors of 44750 and 44770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44750 and 44770.

How to find the GCF of 44750 and 44770?

We will first find the prime factorization of 44750 and 44770. After we will calculate the factors of 44750 and 44770 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44770

Prime factors of 44770 are 2, 5, 11, 37. Prime factorization of 44770 in exponential form is:

44770 = 2¹ × 5¹ × 11² × 37¹

Step-3: Factors of 44750

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

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

Step-4: Factors of 44770

List of positive integer factors of 44770 that divides 44750 without a remainder.

1, 2, 5, 10, 11, 22, 37, 55, 74, 110, 121, 185, 242, 370, 407, 605, 814, 1210, 2035, 4070, 4477, 8954, 22385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44750 and 44770. The biggest common factor number is the GCF number.
So the greatest common factor 44750 and 44770 is 10.

Also check out the Least Common Multiple of 44750 and 44770