Greatest Common Factor of 67032 and 67039

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, 67039 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 67032 and 67039 is 7.

GCF(67032,67039) = 7

GCF of 67032 and 67039

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

GCF of:
and

Greatest Common Factor of 67032 and 67039

GCF of 67032 and 67039 is 7

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 67039


7 67039
61 9577
157 157
1

Prime factors of 67039 are 7,61,157. Prime factorization of 67039 in exponential form is:

67039 = 71×611×1571

∴ So by taking common prime factors GCF of 67032 and 67039 is 7

Greatest Common Factor of 67032 and 67039 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 67039

List of positive integer factors of 67039 that divides 67039 without a remainder.

1,7,61,157,427,1099,9577,67039

Greatest Common Factor

We found the factors and prime factorization of 67032 and 67039. The biggest common factor number is the GCF number.
So the greatest common factor 67032 and 67039 is 7.

Also check out the Least Common Multiple of 67032 and 67039

Properties of GCF 67032 and 67039

(i) The GCF of 67032 and 67039 is associative

GCF of 67032 and 67039 = GCF of 67039 and 67032

Related Greatest Common Factor of 67032

Related Greatest Common Factor of 67039

Frequently Asked Questions on GCF of 67032 and 67039

1. What is the GCF of 67032 and 67039?

Answer: GCF of 67032 and 67039 is 7.

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 67039?

Answer: Factors of 67039 are 1, 7, 61, 157, 427, 1099, 9577, 67039. There are 8 integers that are factors of 67039. The greatest factor of 67039 is 67039.

4. How to Find the GCF of 67032 and 67039?

Answer:

Greatest Common Factor of 67032 and 67039 = 7

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 67039

67039 = 7 x 61 x 157

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

GCF = 7

Step 4: Therefore, the greatest common factor of 67032 and 67039 is 7