Greatest Common Factor of 42008 and 42012

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 42008, 42012 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42008 and 42012 is 4.

GCF(42008,42012) = 4

GCF of 42008 and 42012

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

GCF of:
and

Greatest Common Factor of 42008 and 42012

GCF of 42008 and 42012 is 4

Prime Factorization of 42008


2 42008
2 21004
2 10502
59 5251
89 89
1

Prime factors of 42008 are 2,59,89. Prime factorization of 42008 in exponential form is:

42008 = 23×591×891

Prime Factorization of 42012


2 42012
2 21006
3 10503
3 3501
3 1167
389 389
1

Prime factors of 42012 are 2,3,389. Prime factorization of 42012 in exponential form is:

42012 = 22×33×3891

∴ So by taking common prime factors GCF of 42008 and 42012 is 4

Greatest Common Factor of 42008 and 42012 by matching factors method

Factors of 42008

List of positive integer factors of 42008 that divides 42008 without a remainder.

1,2,4,8,59,89,118,178,236,356,472,712,5251,10502,21004,42008

Factors of 42012

List of positive integer factors of 42012 that divides 42012 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108,389,778,1167,1556,2334,3501,4668,7002,10503,14004,21006,42012

Greatest Common Factor

We found the factors and prime factorization of 42008 and 42012. The biggest common factor number is the GCF number.
So the greatest common factor 42008 and 42012 is 4.

Also check out the Least Common Multiple of 42008 and 42012

Properties of GCF 42008 and 42012

(i) The GCF of 42008 and 42012 is associative

GCF of 42008 and 42012 = GCF of 42012 and 42008

Related Greatest Common Factor of 42008

Related Greatest Common Factor of 42012

Frequently Asked Questions on GCF of 42008 and 42012

1. What is the GCF of 42008 and 42012?

Answer: GCF of 42008 and 42012 is 4.

2. What are the Factors of 42008?

Answer: Factors of 42008 are 1, 2, 4, 8, 59, 89, 118, 178, 236, 356, 472, 712, 5251, 10502, 21004, 42008. There are 16 integers that are factors of 42008. The greatest factor of 42008 is 42008.

3. What are the Factors of 42012?

Answer: Factors of 42012 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 389, 778, 1167, 1556, 2334, 3501, 4668, 7002, 10503, 14004, 21006, 42012. There are 24 integers that are factors of 42012. The greatest factor of 42012 is 42012.

4. How to Find the GCF of 42008 and 42012?

Answer:

Greatest Common Factor of 42008 and 42012 = 4

Step 1: Find the prime factorization of 42008

42008 = 2 x 2 x 2 x 59 x 89

Step 2: Find the prime factorization of 42012

42012 = 2 x 2 x 3 x 3 x 3 x 389

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 42008 and 42012 is 4