What is the Greatest Common Factor of 44750 and 44762?

Greatest common factor (GCF) of 44750 and 44762 is 2.

GCF(44750,44762) = 2

We will now calculate the prime factors of 44750 and 44762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44750 and 44762.

How to find the GCF of 44750 and 44762?

We will first find the prime factorization of 44750 and 44762. After we will calculate the factors of 44750 and 44762 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 44762

Prime factors of 44762 are 2, 22381. Prime factorization of 44762 in exponential form is:

44762 = 2¹ × 22381¹

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 44762

List of positive integer factors of 44762 that divides 44750 without a remainder.

1, 2, 22381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44750 and 44762. The biggest common factor number is the GCF number.
So the greatest common factor 44750 and 44762 is 2.

Also check out the Least Common Multiple of 44750 and 44762