What is the Greatest Common Factor of 67032 and 67040?

Greatest common factor (GCF) of 67032 and 67040 is 8.

GCF(67032,67040) = 8

We will now calculate the prime factors of 67032 and 67040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67032 and 67040.

How to find the GCF of 67032 and 67040?

We will first find the prime factorization of 67032 and 67040. After we will calculate the factors of 67032 and 67040 and find the biggest common factor number .

Step-1: Prime Factorization of 67032

Prime factors of 67032 are 2, 3, 7, 19. Prime factorization of 67032 in exponential form is:

67032 = 2³ × 3² × 7² × 19¹

Step-2: Prime Factorization of 67040

Prime factors of 67040 are 2, 5, 419. Prime factorization of 67040 in exponential form is:

67040 = 2⁵ × 5¹ × 419¹

Step-3: Factors of 67032

List of positive integer factors of 67032 that divides 67032 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 19, 21, 24, 28, 36, 38, 42, 49, 56, 57, 63, 72, 76, 84, 98, 114, 126, 133, 147, 152, 168, 171, 196, 228, 252, 266, 294, 342, 392, 399, 441, 456, 504, 532, 588, 684, 798, 882, 931, 1064, 1176, 1197, 1368, 1596, 1764, 1862, 2394, 2793, 3192, 3528, 3724, 4788, 5586, 7448, 8379, 9576, 11172, 16758, 22344, 33516

Step-4: Factors of 67040

List of positive integer factors of 67040 that divides 67032 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 419, 838, 1676, 2095, 3352, 4190, 6704, 8380, 13408, 16760, 33520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67032 and 67040. The biggest common factor number is the GCF number.
So the greatest common factor 67032 and 67040 is 8.

Also check out the Least Common Multiple of 67032 and 67040