What is the Greatest Common Factor of 44364 and 44370?

Greatest common factor (GCF) of 44364 and 44370 is 6.

GCF(44364,44370) = 6

We will now calculate the prime factors of 44364 and 44370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44364 and 44370.

How to find the GCF of 44364 and 44370?

We will first find the prime factorization of 44364 and 44370. After we will calculate the factors of 44364 and 44370 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 44370

Prime factors of 44370 are 2, 3, 5, 17, 29. Prime factorization of 44370 in exponential form is:

44370 = 2¹ × 3² × 5¹ × 17¹ × 29¹

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 44370

List of positive integer factors of 44370 that divides 44364 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 29, 30, 34, 45, 51, 58, 85, 87, 90, 102, 145, 153, 170, 174, 255, 261, 290, 306, 435, 493, 510, 522, 765, 870, 986, 1305, 1479, 1530, 2465, 2610, 2958, 4437, 4930, 7395, 8874, 14790, 22185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44364 and 44370. The biggest common factor number is the GCF number.
So the greatest common factor 44364 and 44370 is 6.

Also check out the Least Common Multiple of 44364 and 44370