What is the Greatest Common Factor of 44368 and 44378?

Greatest common factor (GCF) of 44368 and 44378 is 2.

GCF(44368,44378) = 2

We will now calculate the prime factors of 44368 and 44378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44368 and 44378.

How to find the GCF of 44368 and 44378?

We will first find the prime factorization of 44368 and 44378. After we will calculate the factors of 44368 and 44378 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44378

Prime factors of 44378 are 2, 22189. Prime factorization of 44378 in exponential form is:

44378 = 2¹ × 22189¹

Step-3: Factors of 44368

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

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

Step-4: Factors of 44378

List of positive integer factors of 44378 that divides 44368 without a remainder.

1, 2, 22189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44368 and 44378. The biggest common factor number is the GCF number.
So the greatest common factor 44368 and 44378 is 2.

Also check out the Least Common Multiple of 44368 and 44378