What is the Greatest Common Factor of 44780 and 44795?

Greatest common factor (GCF) of 44780 and 44795 is 5.

GCF(44780,44795) = 5

We will now calculate the prime factors of 44780 and 44795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44780 and 44795.

How to find the GCF of 44780 and 44795?

We will first find the prime factorization of 44780 and 44795. After we will calculate the factors of 44780 and 44795 and find the biggest common factor number .

Step-1: Prime Factorization of 44780

Prime factors of 44780 are 2, 5, 2239. Prime factorization of 44780 in exponential form is:

44780 = 2² × 5¹ × 2239¹

Step-2: Prime Factorization of 44795

Prime factors of 44795 are 5, 17, 31. Prime factorization of 44795 in exponential form is:

44795 = 5¹ × 17² × 31¹

Step-3: Factors of 44780

List of positive integer factors of 44780 that divides 44780 without a remainder.

1, 2, 4, 5, 10, 20, 2239, 4478, 8956, 11195, 22390

Step-4: Factors of 44795

List of positive integer factors of 44795 that divides 44780 without a remainder.

1, 5, 17, 31, 85, 155, 289, 527, 1445, 2635, 8959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44780 and 44795. The biggest common factor number is the GCF number.
So the greatest common factor 44780 and 44795 is 5.

Also check out the Least Common Multiple of 44780 and 44795