What is the Greatest Common Factor of 44424 and 44436?

Greatest common factor (GCF) of 44424 and 44436 is 12.

GCF(44424,44436) = 12

We will now calculate the prime factors of 44424 and 44436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44424 and 44436.

How to find the GCF of 44424 and 44436?

We will first find the prime factorization of 44424 and 44436. After we will calculate the factors of 44424 and 44436 and find the biggest common factor number .

Step-1: Prime Factorization of 44424

Prime factors of 44424 are 2, 3, 617. Prime factorization of 44424 in exponential form is:

44424 = 2³ × 3² × 617¹

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 44424

List of positive integer factors of 44424 that divides 44424 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 617, 1234, 1851, 2468, 3702, 4936, 5553, 7404, 11106, 14808, 22212

Step-4: Factors of 44436

List of positive integer factors of 44436 that divides 44424 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 44424 and 44436. The biggest common factor number is the GCF number.
So the greatest common factor 44424 and 44436 is 12.

Also check out the Least Common Multiple of 44424 and 44436