What is the Greatest Common Factor of 44364 and 44368?

Greatest common factor (GCF) of 44364 and 44368 is 4.

GCF(44364,44368) = 4

We will now calculate the prime factors of 44364 and 44368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44364 and 44368.

How to find the GCF of 44364 and 44368?

We will first find the prime factorization of 44364 and 44368. After we will calculate the factors of 44364 and 44368 and find the biggest common factor number .

Step-1: Prime Factorization of 44364

Prime factors of 44364 are 2, 3, 3697. Prime factorization of 44364 in exponential form is:

44364 = 2² × 3¹ × 3697¹

Step-2: Prime Factorization of 44368

Prime factors of 44368 are 2, 47, 59. Prime factorization of 44368 in exponential form is:

44368 = 2⁴ × 47¹ × 59¹

Step-3: Factors of 44364

List of positive integer factors of 44364 that divides 44364 without a remainder.

1, 2, 3, 4, 6, 12, 3697, 7394, 11091, 14788, 22182

Step-4: Factors of 44368

List of positive integer factors of 44368 that divides 44364 without a remainder.

1, 2, 4, 8, 16, 47, 59, 94, 118, 188, 236, 376, 472, 752, 944, 2773, 5546, 11092, 22184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44364 and 44368. The biggest common factor number is the GCF number.
So the greatest common factor 44364 and 44368 is 4.

Also check out the Least Common Multiple of 44364 and 44368