Greatest Common Factor of 42028 and 42035

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, 42035 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42028 and 42035 is 7.

GCF(42028,42035) = 7

GCF of 42028 and 42035

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

GCF of:
and

Greatest Common Factor of 42028 and 42035

GCF of 42028 and 42035 is 7

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 42035


5 42035
7 8407
1201 1201
1

Prime factors of 42035 are 5,7,1201. Prime factorization of 42035 in exponential form is:

42035 = 51×71×12011

∴ So by taking common prime factors GCF of 42028 and 42035 is 7

Greatest Common Factor of 42028 and 42035 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 42035

List of positive integer factors of 42035 that divides 42035 without a remainder.

1,5,7,35,1201,6005,8407,42035

Greatest Common Factor

We found the factors and prime factorization of 42028 and 42035. The biggest common factor number is the GCF number.
So the greatest common factor 42028 and 42035 is 7.

Also check out the Least Common Multiple of 42028 and 42035

Properties of GCF 42028 and 42035

(i) The GCF of 42028 and 42035 is associative

GCF of 42028 and 42035 = GCF of 42035 and 42028

Related Greatest Common Factor of 42028

Related Greatest Common Factor of 42035

Frequently Asked Questions on GCF of 42028 and 42035

1. What is the GCF of 42028 and 42035?

Answer: GCF of 42028 and 42035 is 7.

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 42035?

Answer: Factors of 42035 are 1, 5, 7, 35, 1201, 6005, 8407, 42035. There are 8 integers that are factors of 42035. The greatest factor of 42035 is 42035.

4. How to Find the GCF of 42028 and 42035?

Answer:

Greatest Common Factor of 42028 and 42035 = 7

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 42035

42035 = 5 x 7 x 1201

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 42028 and 42035 is 7