What is the Greatest Common Factor of 44824 and 44830?

Greatest common factor (GCF) of 44824 and 44830 is 2.

GCF(44824,44830) = 2

We will now calculate the prime factors of 44824 and 44830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44824 and 44830.

How to find the GCF of 44824 and 44830?

We will first find the prime factorization of 44824 and 44830. After we will calculate the factors of 44824 and 44830 and find the biggest common factor number .

Step-1: Prime Factorization of 44824

Prime factors of 44824 are 2, 13, 431. Prime factorization of 44824 in exponential form is:

44824 = 2³ × 13¹ × 431¹

Step-2: Prime Factorization of 44830

Prime factors of 44830 are 2, 5, 4483. Prime factorization of 44830 in exponential form is:

44830 = 2¹ × 5¹ × 4483¹

Step-3: Factors of 44824

List of positive integer factors of 44824 that divides 44824 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 431, 862, 1724, 3448, 5603, 11206, 22412

Step-4: Factors of 44830

List of positive integer factors of 44830 that divides 44824 without a remainder.

1, 2, 5, 10, 4483, 8966, 22415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44824 and 44830. The biggest common factor number is the GCF number.
So the greatest common factor 44824 and 44830 is 2.

Also check out the Least Common Multiple of 44824 and 44830