What is the Greatest Common Factor of 73920 and 73931?

Greatest common factor (GCF) of 73920 and 73931 is 11.

GCF(73920,73931) = 11

We will now calculate the prime factors of 73920 and 73931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73920 and 73931.

How to find the GCF of 73920 and 73931?

We will first find the prime factorization of 73920 and 73931. After we will calculate the factors of 73920 and 73931 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 73931

Prime factors of 73931 are 11, 13, 47. Prime factorization of 73931 in exponential form is:

73931 = 11² × 13¹ × 47¹

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 73931

List of positive integer factors of 73931 that divides 73920 without a remainder.

1, 11, 13, 47, 121, 143, 517, 611, 1573, 5687, 6721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73920 and 73931. The biggest common factor number is the GCF number.
So the greatest common factor 73920 and 73931 is 11.

Also check out the Least Common Multiple of 73920 and 73931