Greatest Common Factor of 67024 and 67032

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 67024, 67032 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 67024 and 67032 is 8.

GCF(67024,67032) = 8

GCF of 67024 and 67032

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

GCF of:
and

Greatest Common Factor of 67024 and 67032

GCF of 67024 and 67032 is 8

Prime Factorization of 67024


2 67024
2 33512
2 16756
2 8378
59 4189
71 71
1

Prime factors of 67024 are 2,59,71. Prime factorization of 67024 in exponential form is:

67024 = 24×591×711

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

∴ So by taking common prime factors GCF of 67024 and 67032 is 8

Greatest Common Factor of 67024 and 67032 by matching factors method

Factors of 67024

List of positive integer factors of 67024 that divides 67024 without a remainder.

1,2,4,8,16,59,71,118,142,236,284,472,568,944,1136,4189,8378,16756,33512,67024

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

Greatest Common Factor

We found the factors and prime factorization of 67024 and 67032. The biggest common factor number is the GCF number.
So the greatest common factor 67024 and 67032 is 8.

Also check out the Least Common Multiple of 67024 and 67032

Properties of GCF 67024 and 67032

(i) The GCF of 67024 and 67032 is associative

GCF of 67024 and 67032 = GCF of 67032 and 67024

Related Greatest Common Factor of 67024

Related Greatest Common Factor of 67032

Frequently Asked Questions on GCF of 67024 and 67032

1. What is the GCF of 67024 and 67032?

Answer: GCF of 67024 and 67032 is 8.

2. What are the Factors of 67024?

Answer: Factors of 67024 are 1, 2, 4, 8, 16, 59, 71, 118, 142, 236, 284, 472, 568, 944, 1136, 4189, 8378, 16756, 33512, 67024. There are 20 integers that are factors of 67024. The greatest factor of 67024 is 67024.

3. 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.

4. How to Find the GCF of 67024 and 67032?

Answer:

Greatest Common Factor of 67024 and 67032 = 8

Step 1: Find the prime factorization of 67024

67024 = 2 x 2 x 2 x 2 x 59 x 71

Step 2: Find the prime factorization of 67032

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

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 67024 and 67032 is 8