Greatest Common Factor of 42028 and 42032

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 42028, 42032 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42028 and 42032 is 4.

GCF(42028,42032) = 4

GCF of 42028 and 42032

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

GCF of:
and

Greatest Common Factor of 42028 and 42032

GCF of 42028 and 42032 is 4

Prime Factorization of 42028


2 42028
2 21014
7 10507
19 1501
79 79
1

Prime factors of 42028 are 2,7,19,79. Prime factorization of 42028 in exponential form is:

42028 = 22×71×191×791

Prime Factorization of 42032


2 42032
2 21016
2 10508
2 5254
37 2627
71 71
1

Prime factors of 42032 are 2,37,71. Prime factorization of 42032 in exponential form is:

42032 = 24×371×711

∴ So by taking common prime factors GCF of 42028 and 42032 is 4

Greatest Common Factor of 42028 and 42032 by matching factors method

Factors of 42028

List of positive integer factors of 42028 that divides 42028 without a remainder.

1,2,4,7,14,19,28,38,76,79,133,158,266,316,532,553,1106,1501,2212,3002,6004,10507,21014,42028

Factors of 42032

List of positive integer factors of 42032 that divides 42032 without a remainder.

1,2,4,8,16,37,71,74,142,148,284,296,568,592,1136,2627,5254,10508,21016,42032

Greatest Common Factor

We found the factors and prime factorization of 42028 and 42032. The biggest common factor number is the GCF number.
So the greatest common factor 42028 and 42032 is 4.

Also check out the Least Common Multiple of 42028 and 42032

Properties of GCF 42028 and 42032

(i) The GCF of 42028 and 42032 is associative

GCF of 42028 and 42032 = GCF of 42032 and 42028

Related Greatest Common Factor of 42028

Related Greatest Common Factor of 42032

Frequently Asked Questions on GCF of 42028 and 42032

1. What is the GCF of 42028 and 42032?

Answer: GCF of 42028 and 42032 is 4.

2. What are the Factors of 42028?

Answer: Factors of 42028 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 79, 133, 158, 266, 316, 532, 553, 1106, 1501, 2212, 3002, 6004, 10507, 21014, 42028. There are 24 integers that are factors of 42028. The greatest factor of 42028 is 42028.

3. What are the Factors of 42032?

Answer: Factors of 42032 are 1, 2, 4, 8, 16, 37, 71, 74, 142, 148, 284, 296, 568, 592, 1136, 2627, 5254, 10508, 21016, 42032. There are 20 integers that are factors of 42032. The greatest factor of 42032 is 42032.

4. How to Find the GCF of 42028 and 42032?

Answer:

Greatest Common Factor of 42028 and 42032 = 4

Step 1: Find the prime factorization of 42028

42028 = 2 x 2 x 7 x 19 x 79

Step 2: Find the prime factorization of 42032

42032 = 2 x 2 x 2 x 2 x 37 x 71

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 42028 and 42032 is 4