What is the Greatest Common Factor of 44764 and 44780?

Greatest common factor (GCF) of 44764 and 44780 is 4.

GCF(44764,44780) = 4

We will now calculate the prime factors of 44764 and 44780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44764 and 44780.

How to find the GCF of 44764 and 44780?

We will first find the prime factorization of 44764 and 44780. After we will calculate the factors of 44764 and 44780 and find the biggest common factor number .

Step-1: Prime Factorization of 44764

Prime factors of 44764 are 2, 19, 31. Prime factorization of 44764 in exponential form is:

44764 = 2² × 19² × 31¹

Step-2: 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-3: Factors of 44764

List of positive integer factors of 44764 that divides 44764 without a remainder.

1, 2, 4, 19, 31, 38, 62, 76, 124, 361, 589, 722, 1178, 1444, 2356, 11191, 22382

Step-4: Factors of 44780

List of positive integer factors of 44780 that divides 44764 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44764 and 44780. The biggest common factor number is the GCF number.
So the greatest common factor 44764 and 44780 is 4.

Also check out the Least Common Multiple of 44764 and 44780