What is the Greatest Common Factor of 44432 and 44436?

Greatest common factor (GCF) of 44432 and 44436 is 4.

GCF(44432,44436) = 4

We will now calculate the prime factors of 44432 and 44436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44432 and 44436.

How to find the GCF of 44432 and 44436?

We will first find the prime factorization of 44432 and 44436. After we will calculate the factors of 44432 and 44436 and find the biggest common factor number .

Step-1: Prime Factorization of 44432

Prime factors of 44432 are 2, 2777. Prime factorization of 44432 in exponential form is:

44432 = 2⁴ × 2777¹

Step-2: 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-3: Factors of 44432

List of positive integer factors of 44432 that divides 44432 without a remainder.

1, 2, 4, 8, 16, 2777, 5554, 11108, 22216

Step-4: Factors of 44436

List of positive integer factors of 44436 that divides 44432 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44432 and 44436. The biggest common factor number is the GCF number.
So the greatest common factor 44432 and 44436 is 4.

Also check out the Least Common Multiple of 44432 and 44436