What is the Greatest Common Factor of 73905 and 73920?

Greatest common factor (GCF) of 73905 and 73920 is 15.

GCF(73905,73920) = 15

We will now calculate the prime factors of 73905 and 73920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73905 and 73920.

How to find the GCF of 73905 and 73920?

We will first find the prime factorization of 73905 and 73920. After we will calculate the factors of 73905 and 73920 and find the biggest common factor number .

Step-1: Prime Factorization of 73905

Prime factors of 73905 are 3, 5, 13, 379. Prime factorization of 73905 in exponential form is:

73905 = 3¹ × 5¹ × 13¹ × 379¹

Step-2: Prime Factorization of 73920

Prime factors of 73920 are 2, 3, 5, 7, 11. Prime factorization of 73920 in exponential form is:

73920 = 2⁶ × 3¹ × 5¹ × 7¹ × 11¹

Step-3: Factors of 73905

List of positive integer factors of 73905 that divides 73905 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 379, 1137, 1895, 4927, 5685, 14781, 24635

Step-4: Factors of 73920

List of positive integer factors of 73920 that divides 73905 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 16, 20, 21, 22, 24, 28, 30, 32, 33, 35, 40, 42, 44, 48, 55, 56, 60, 64, 66, 70, 77, 80, 84, 88, 96, 105, 110, 112, 120, 132, 140, 154, 160, 165, 168, 176, 192, 210, 220, 224, 231, 240, 264, 280, 308, 320, 330, 336, 352, 385, 420, 440, 448, 462, 480, 528, 560, 616, 660, 672, 704, 770, 840, 880, 924, 960, 1056, 1120, 1155, 1232, 1320, 1344, 1540, 1680, 1760, 1848, 2112, 2240, 2310, 2464, 2640, 3080, 3360, 3520, 3696, 4620, 4928, 5280, 6160, 6720, 7392, 9240, 10560, 12320, 14784, 18480, 24640, 36960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73905 and 73920. The biggest common factor number is the GCF number.
So the greatest common factor 73905 and 73920 is 15.

Also check out the Least Common Multiple of 73905 and 73920