What is the Greatest Common Factor of 76032 and 76040?

Greatest common factor (GCF) of 76032 and 76040 is 8.

GCF(76032,76040) = 8

We will now calculate the prime factors of 76032 and 76040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76032 and 76040.

How to find the GCF of 76032 and 76040?

We will first find the prime factorization of 76032 and 76040. After we will calculate the factors of 76032 and 76040 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76040

Prime factors of 76040 are 2, 5, 1901. Prime factorization of 76040 in exponential form is:

76040 = 2³ × 5¹ × 1901¹

Step-3: Factors of 76032

List of positive integer factors of 76032 that divides 76032 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

Step-4: Factors of 76040

List of positive integer factors of 76040 that divides 76032 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1901, 3802, 7604, 9505, 15208, 19010, 38020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76032 and 76040. The biggest common factor number is the GCF number.
So the greatest common factor 76032 and 76040 is 8.

Also check out the Least Common Multiple of 76032 and 76040