What is the Greatest Common Factor of 44436 and 44443?

Greatest common factor (GCF) of 44436 and 44443 is 7.

GCF(44436,44443) = 7

We will now calculate the prime factors of 44436 and 44443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44436 and 44443.

How to find the GCF of 44436 and 44443?

We will first find the prime factorization of 44436 and 44443. After we will calculate the factors of 44436 and 44443 and find the biggest common factor number .

Step-1: Prime Factorization of 44436

Prime factors of 44436 are 2, 3, 7, 23. Prime factorization of 44436 in exponential form is:

44436 = 2² × 3¹ × 7¹ × 23²

Step-2: Prime Factorization of 44443

Prime factors of 44443 are 7, 907. Prime factorization of 44443 in exponential form is:

44443 = 7² × 907¹

Step-3: Factors of 44436

List of positive integer factors of 44436 that divides 44436 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 529, 644, 966, 1058, 1587, 1932, 2116, 3174, 3703, 6348, 7406, 11109, 14812, 22218

Step-4: Factors of 44443

List of positive integer factors of 44443 that divides 44436 without a remainder.

1, 7, 49, 907, 6349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44436 and 44443. The biggest common factor number is the GCF number.
So the greatest common factor 44436 and 44443 is 7.

Also check out the Least Common Multiple of 44436 and 44443