What is the Greatest Common Factor of 73920 and 73932?

Greatest common factor (GCF) of 73920 and 73932 is 12.

GCF(73920,73932) = 12

We will now calculate the prime factors of 73920 and 73932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73920 and 73932.

How to find the GCF of 73920 and 73932?

We will first find the prime factorization of 73920 and 73932. After we will calculate the factors of 73920 and 73932 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 73932

Prime factors of 73932 are 2, 3, 61, 101. Prime factorization of 73932 in exponential form is:

73932 = 2² × 3¹ × 61¹ × 101¹

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 73932

List of positive integer factors of 73932 that divides 73920 without a remainder.

1, 2, 3, 4, 6, 12, 61, 101, 122, 183, 202, 244, 303, 366, 404, 606, 732, 1212, 6161, 12322, 18483, 24644, 36966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73920 and 73932. The biggest common factor number is the GCF number.
So the greatest common factor 73920 and 73932 is 12.

Also check out the Least Common Multiple of 73920 and 73932