What is the Greatest Common Factor of 73920 and 73929?

Greatest common factor (GCF) of 73920 and 73929 is 3.

GCF(73920,73929) = 3

We will now calculate the prime factors of 73920 and 73929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73920 and 73929.

How to find the GCF of 73920 and 73929?

We will first find the prime factorization of 73920 and 73929. After we will calculate the factors of 73920 and 73929 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73929

Prime factors of 73929 are 3, 19, 1297. Prime factorization of 73929 in exponential form is:

73929 = 3¹ × 19¹ × 1297¹

Step-3: Factors of 73920

List of positive integer factors of 73920 that divides 73920 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

Step-4: Factors of 73929

List of positive integer factors of 73929 that divides 73920 without a remainder.

1, 3, 19, 57, 1297, 3891, 24643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73920 and 73929. The biggest common factor number is the GCF number.
So the greatest common factor 73920 and 73929 is 3.

Also check out the Least Common Multiple of 73920 and 73929