What is the Greatest Common Factor of 44925 and 44935?

Greatest common factor (GCF) of 44925 and 44935 is 5.

GCF(44925,44935) = 5

We will now calculate the prime factors of 44925 and 44935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44925 and 44935.

How to find the GCF of 44925 and 44935?

We will first find the prime factorization of 44925 and 44935. After we will calculate the factors of 44925 and 44935 and find the biggest common factor number .

Step-1: Prime Factorization of 44925

Prime factors of 44925 are 3, 5, 599. Prime factorization of 44925 in exponential form is:

44925 = 3¹ × 5² × 599¹

Step-2: Prime Factorization of 44935

Prime factors of 44935 are 5, 11, 19, 43. Prime factorization of 44935 in exponential form is:

44935 = 5¹ × 11¹ × 19¹ × 43¹

Step-3: Factors of 44925

List of positive integer factors of 44925 that divides 44925 without a remainder.

1, 3, 5, 15, 25, 75, 599, 1797, 2995, 8985, 14975

Step-4: Factors of 44935

List of positive integer factors of 44935 that divides 44925 without a remainder.

1, 5, 11, 19, 43, 55, 95, 209, 215, 473, 817, 1045, 2365, 4085, 8987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44925 and 44935. The biggest common factor number is the GCF number.
So the greatest common factor 44925 and 44935 is 5.

Also check out the Least Common Multiple of 44925 and 44935