What is the Greatest Common Factor of 44304 and 44318?

Greatest common factor (GCF) of 44304 and 44318 is 2.

GCF(44304,44318) = 2

We will now calculate the prime factors of 44304 and 44318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44304 and 44318.

How to find the GCF of 44304 and 44318?

We will first find the prime factorization of 44304 and 44318. After we will calculate the factors of 44304 and 44318 and find the biggest common factor number .

Step-1: Prime Factorization of 44304

Prime factors of 44304 are 2, 3, 13, 71. Prime factorization of 44304 in exponential form is:

44304 = 2⁴ × 3¹ × 13¹ × 71¹

Step-2: Prime Factorization of 44318

Prime factors of 44318 are 2, 22159. Prime factorization of 44318 in exponential form is:

44318 = 2¹ × 22159¹

Step-3: Factors of 44304

List of positive integer factors of 44304 that divides 44304 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 71, 78, 104, 142, 156, 208, 213, 284, 312, 426, 568, 624, 852, 923, 1136, 1704, 1846, 2769, 3408, 3692, 5538, 7384, 11076, 14768, 22152

Step-4: Factors of 44318

List of positive integer factors of 44318 that divides 44304 without a remainder.

1, 2, 22159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44304 and 44318. The biggest common factor number is the GCF number.
So the greatest common factor 44304 and 44318 is 2.

Also check out the Least Common Multiple of 44304 and 44318