What is the Greatest Common Factor of 44736 and 44742?

Greatest common factor (GCF) of 44736 and 44742 is 6.

GCF(44736,44742) = 6

We will now calculate the prime factors of 44736 and 44742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44736 and 44742.

How to find the GCF of 44736 and 44742?

We will first find the prime factorization of 44736 and 44742. After we will calculate the factors of 44736 and 44742 and find the biggest common factor number .

Step-1: Prime Factorization of 44736

Prime factors of 44736 are 2, 3, 233. Prime factorization of 44736 in exponential form is:

44736 = 2⁶ × 3¹ × 233¹

Step-2: Prime Factorization of 44742

Prime factors of 44742 are 2, 3, 7457. Prime factorization of 44742 in exponential form is:

44742 = 2¹ × 3¹ × 7457¹

Step-3: Factors of 44736

List of positive integer factors of 44736 that divides 44736 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 233, 466, 699, 932, 1398, 1864, 2796, 3728, 5592, 7456, 11184, 14912, 22368

Step-4: Factors of 44742

List of positive integer factors of 44742 that divides 44736 without a remainder.

1, 2, 3, 6, 7457, 14914, 22371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44736 and 44742. The biggest common factor number is the GCF number.
So the greatest common factor 44736 and 44742 is 6.

Also check out the Least Common Multiple of 44736 and 44742