What is the Greatest Common Factor of 44288 and 44304?

Greatest common factor (GCF) of 44288 and 44304 is 16.

GCF(44288,44304) = 16

We will now calculate the prime factors of 44288 and 44304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44288 and 44304.

How to find the GCF of 44288 and 44304?

We will first find the prime factorization of 44288 and 44304. After we will calculate the factors of 44288 and 44304 and find the biggest common factor number .

Step-1: Prime Factorization of 44288

Prime factors of 44288 are 2, 173. Prime factorization of 44288 in exponential form is:

44288 = 2⁸ × 173¹

Step-2: 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-3: Factors of 44288

List of positive integer factors of 44288 that divides 44288 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 173, 256, 346, 692, 1384, 2768, 5536, 11072, 22144

Step-4: Factors of 44304

List of positive integer factors of 44304 that divides 44288 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44288 and 44304. The biggest common factor number is the GCF number.
So the greatest common factor 44288 and 44304 is 16.

Also check out the Least Common Multiple of 44288 and 44304