Greatest Common Factor of 42045 and 42051

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 42045, 42051 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42045 and 42051 is 3.

GCF(42045,42051) = 3

GCF of 42045 and 42051

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

GCF of:
and

Greatest Common Factor of 42045 and 42051

GCF of 42045 and 42051 is 3

Prime Factorization of 42045


3 42045
5 14015
2803 2803
1

Prime factors of 42045 are 3,5,2803. Prime factorization of 42045 in exponential form is:

42045 = 31×51×28031

Prime Factorization of 42051


3 42051
107 14017
131 131
1

Prime factors of 42051 are 3,107,131. Prime factorization of 42051 in exponential form is:

42051 = 31×1071×1311

∴ So by taking common prime factors GCF of 42045 and 42051 is 3

Greatest Common Factor of 42045 and 42051 by matching factors method

Factors of 42045

List of positive integer factors of 42045 that divides 42045 without a remainder.

1,3,5,15,2803,8409,14015,42045

Factors of 42051

List of positive integer factors of 42051 that divides 42051 without a remainder.

1,3,107,131,321,393,14017,42051

Greatest Common Factor

We found the factors and prime factorization of 42045 and 42051. The biggest common factor number is the GCF number.
So the greatest common factor 42045 and 42051 is 3.

Also check out the Least Common Multiple of 42045 and 42051

Properties of GCF 42045 and 42051

(i) The GCF of 42045 and 42051 is associative

GCF of 42045 and 42051 = GCF of 42051 and 42045

Related Greatest Common Factor of 42045

Related Greatest Common Factor of 42051

Frequently Asked Questions on GCF of 42045 and 42051

1. What is the GCF of 42045 and 42051?

Answer: GCF of 42045 and 42051 is 3.

2. What are the Factors of 42045?

Answer: Factors of 42045 are 1, 3, 5, 15, 2803, 8409, 14015, 42045. There are 8 integers that are factors of 42045. The greatest factor of 42045 is 42045.

3. What are the Factors of 42051?

Answer: Factors of 42051 are 1, 3, 107, 131, 321, 393, 14017, 42051. There are 8 integers that are factors of 42051. The greatest factor of 42051 is 42051.

4. How to Find the GCF of 42045 and 42051?

Answer:

Greatest Common Factor of 42045 and 42051 = 3

Step 1: Find the prime factorization of 42045

42045 = 3 x 5 x 2803

Step 2: Find the prime factorization of 42051

42051 = 3 x 107 x 131

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

GCF = 3

Step 4: Therefore, the greatest common factor of 42045 and 42051 is 3