What is the Greatest Common Factor of 76020 and 76032?

Greatest common factor (GCF) of 76020 and 76032 is 12.

GCF(76020,76032) = 12

We will now calculate the prime factors of 76020 and 76032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76020 and 76032.

How to find the GCF of 76020 and 76032?

We will first find the prime factorization of 76020 and 76032. After we will calculate the factors of 76020 and 76032 and find the biggest common factor number .

Step-1: Prime Factorization of 76020

Prime factors of 76020 are 2, 3, 5, 7, 181. Prime factorization of 76020 in exponential form is:

76020 = 2² × 3¹ × 5¹ × 7¹ × 181¹

Step-2: Prime Factorization of 76032

Prime factors of 76032 are 2, 3, 11. Prime factorization of 76032 in exponential form is:

76032 = 2⁸ × 3³ × 11¹

Step-3: Factors of 76020

List of positive integer factors of 76020 that divides 76020 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 181, 210, 362, 420, 543, 724, 905, 1086, 1267, 1810, 2172, 2534, 2715, 3620, 3801, 5068, 5430, 6335, 7602, 10860, 12670, 15204, 19005, 25340, 38010

Step-4: Factors of 76032

List of positive integer factors of 76032 that divides 76020 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 64, 66, 72, 88, 96, 99, 108, 128, 132, 144, 176, 192, 198, 216, 256, 264, 288, 297, 352, 384, 396, 432, 528, 576, 594, 704, 768, 792, 864, 1056, 1152, 1188, 1408, 1584, 1728, 2112, 2304, 2376, 2816, 3168, 3456, 4224, 4752, 6336, 6912, 8448, 9504, 12672, 19008, 25344, 38016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76020 and 76032. The biggest common factor number is the GCF number.
So the greatest common factor 76020 and 76032 is 12.

Also check out the Least Common Multiple of 76020 and 76032