What is the Greatest Common Factor of 44422 and 44436?

Greatest common factor (GCF) of 44422 and 44436 is 14.

GCF(44422,44436) = 14

We will now calculate the prime factors of 44422 and 44436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44422 and 44436.

How to find the GCF of 44422 and 44436?

We will first find the prime factorization of 44422 and 44436. After we will calculate the factors of 44422 and 44436 and find the biggest common factor number .

Step-1: Prime Factorization of 44422

Prime factors of 44422 are 2, 7, 19, 167. Prime factorization of 44422 in exponential form is:

44422 = 2¹ × 7¹ × 19¹ × 167¹

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 44422

List of positive integer factors of 44422 that divides 44422 without a remainder.

1, 2, 7, 14, 19, 38, 133, 167, 266, 334, 1169, 2338, 3173, 6346, 22211

Step-4: Factors of 44436

List of positive integer factors of 44436 that divides 44422 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 44422 and 44436. The biggest common factor number is the GCF number.
So the greatest common factor 44422 and 44436 is 14.

Also check out the Least Common Multiple of 44422 and 44436