Greatest Common Factor of 67032 and 67038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 67032, 67038 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 67032 and 67038 is 6.

GCF(67032,67038) = 6

GCF of 67032 and 67038

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 67032 and 67038

GCF of 67032 and 67038 is 6

Prime Factorization of 67032


2 67032
2 33516
2 16758
3 8379
3 2793
7 931
7 133
19 19
1

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

67032 = 23×32×72×191

Prime Factorization of 67038


2 67038
3 33519
11173 11173
1

Prime factors of 67038 are 2,3,11173. Prime factorization of 67038 in exponential form is:

67038 = 21×31×111731

∴ So by taking common prime factors GCF of 67032 and 67038 is 6

Greatest Common Factor of 67032 and 67038 by matching factors method

Factors of 67032

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

1,2,3,4,6,7,8,9,12,14,18,19,21,24,28,36,38,42,49,56,57,63,72,76,84,98,114,126,133,147,152,168,171,196,228,252,266,294,342,392,399,441,456,504,532,588,684,798,882,931,1064,1176,1197,1368,1596,1764,1862,2394,2793,3192,3528,3724,4788,5586,7448,8379,9576,11172,16758,22344,33516,67032

Factors of 67038

List of positive integer factors of 67038 that divides 67038 without a remainder.

1,2,3,6,11173,22346,33519,67038

Greatest Common Factor

We found the factors and prime factorization of 67032 and 67038. The biggest common factor number is the GCF number.
So the greatest common factor 67032 and 67038 is 6.

Also check out the Least Common Multiple of 67032 and 67038

Properties of GCF 67032 and 67038

(i) The GCF of 67032 and 67038 is associative

GCF of 67032 and 67038 = GCF of 67038 and 67032

Related Greatest Common Factor of 67032

Related Greatest Common Factor of 67038

Frequently Asked Questions on GCF of 67032 and 67038

1. What is the GCF of 67032 and 67038?

Answer: GCF of 67032 and 67038 is 6.

2. What are the Factors of 67032?

Answer: Factors of 67032 are 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, 67032. There are 72 integers that are factors of 67032. The greatest factor of 67032 is 67032.

3. What are the Factors of 67038?

Answer: Factors of 67038 are 1, 2, 3, 6, 11173, 22346, 33519, 67038. There are 8 integers that are factors of 67038. The greatest factor of 67038 is 67038.

4. How to Find the GCF of 67032 and 67038?

Answer:

Greatest Common Factor of 67032 and 67038 = 6

Step 1: Find the prime factorization of 67032

67032 = 2 x 2 x 2 x 3 x 3 x 7 x 7 x 19

Step 2: Find the prime factorization of 67038

67038 = 2 x 3 x 11173

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 67032 and 67038 is 6