What is the Greatest Common Factor of 44860 and 44875?

Greatest common factor (GCF) of 44860 and 44875 is 5.

GCF(44860,44875) = 5

We will now calculate the prime factors of 44860 and 44875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44860 and 44875.

How to find the GCF of 44860 and 44875?

We will first find the prime factorization of 44860 and 44875. After we will calculate the factors of 44860 and 44875 and find the biggest common factor number .

Step-1: Prime Factorization of 44860

Prime factors of 44860 are 2, 5, 2243. Prime factorization of 44860 in exponential form is:

44860 = 2² × 5¹ × 2243¹

Step-2: Prime Factorization of 44875

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

44875 = 5³ × 359¹

Step-3: Factors of 44860

List of positive integer factors of 44860 that divides 44860 without a remainder.

1, 2, 4, 5, 10, 20, 2243, 4486, 8972, 11215, 22430

Step-4: Factors of 44875

List of positive integer factors of 44875 that divides 44860 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44860 and 44875. The biggest common factor number is the GCF number.
So the greatest common factor 44860 and 44875 is 5.

Also check out the Least Common Multiple of 44860 and 44875