What is the Greatest Common Factor of 44875 and 44888?

Greatest common factor (GCF) of 44875 and 44888 is 1.

GCF(44875,44888) = 1

We will now calculate the prime factors of 44875 and 44888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44875 and 44888.

How to find the GCF of 44875 and 44888?

We will first find the prime factorization of 44875 and 44888. After we will calculate the factors of 44875 and 44888 and find the biggest common factor number .

Step-1: Prime Factorization of 44875

Prime factors of 44875 are 5, 359. Prime factorization of 44875 in exponential form is:

44875 = 5³ × 359¹

Step-2: Prime Factorization of 44888

Prime factors of 44888 are 2, 31, 181. Prime factorization of 44888 in exponential form is:

44888 = 2³ × 31¹ × 181¹

Step-3: Factors of 44875

List of positive integer factors of 44875 that divides 44875 without a remainder.

1, 5, 25, 125, 359, 1795, 8975

Step-4: Factors of 44888

List of positive integer factors of 44888 that divides 44875 without a remainder.

1, 2, 4, 8, 31, 62, 124, 181, 248, 362, 724, 1448, 5611, 11222, 22444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44875 and 44888. The biggest common factor number is the GCF number.
So the greatest common factor 44875 and 44888 is 1.

Also check out the Least Common Multiple of 44875 and 44888