What is the Greatest Common Factor of 44730 and 44736?

Greatest common factor (GCF) of 44730 and 44736 is 6.

GCF(44730,44736) = 6

We will now calculate the prime factors of 44730 and 44736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44730 and 44736.

How to find the GCF of 44730 and 44736?

We will first find the prime factorization of 44730 and 44736. After we will calculate the factors of 44730 and 44736 and find the biggest common factor number .

Step-1: Prime Factorization of 44730

Prime factors of 44730 are 2, 3, 5, 7, 71. Prime factorization of 44730 in exponential form is:

44730 = 2¹ × 3² × 5¹ × 7¹ × 71¹

Step-2: 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-3: Factors of 44730

List of positive integer factors of 44730 that divides 44730 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 71, 90, 105, 126, 142, 210, 213, 315, 355, 426, 497, 630, 639, 710, 994, 1065, 1278, 1491, 2130, 2485, 2982, 3195, 4473, 4970, 6390, 7455, 8946, 14910, 22365

Step-4: Factors of 44736

List of positive integer factors of 44736 that divides 44730 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44730 and 44736. The biggest common factor number is the GCF number.
So the greatest common factor 44730 and 44736 is 6.

Also check out the Least Common Multiple of 44730 and 44736