Greatest Common Factor of 42051 and 42059

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 42051, 42059 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42051 and 42059 is 1.

GCF(42051,42059) = 1

GCF of 42051 and 42059

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

GCF of:
and

Greatest Common Factor of 42051 and 42059

GCF of 42051 and 42059 is 1

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

Prime Factorization of 42059


137 42059
307 307
1

Prime factors of 42059 are 137,307. Prime factorization of 42059 in exponential form is:

42059 = 1371×3071

∴ So by taking common prime factors GCF of 42051 and 42059 is 1

Greatest Common Factor of 42051 and 42059 by matching factors method

Factors of 42051

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

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

Factors of 42059

List of positive integer factors of 42059 that divides 42059 without a remainder.

1,137,307,42059

Greatest Common Factor

We found the factors and prime factorization of 42051 and 42059. The biggest common factor number is the GCF number.
So the greatest common factor 42051 and 42059 is 1.

Also check out the Least Common Multiple of 42051 and 42059

Properties of GCF 42051 and 42059

(i) The GCF of 42051 and 42059 is associative

GCF of 42051 and 42059 = GCF of 42059 and 42051

Related Greatest Common Factor of 42051

Related Greatest Common Factor of 42059

Frequently Asked Questions on GCF of 42051 and 42059

1. What is the GCF of 42051 and 42059?

Answer: GCF of 42051 and 42059 is 1.

2. 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.

3. What are the Factors of 42059?

Answer: Factors of 42059 are 1, 137, 307, 42059. There are 4 integers that are factors of 42059. The greatest factor of 42059 is 42059.

4. How to Find the GCF of 42051 and 42059?

Answer:

Greatest Common Factor of 42051 and 42059 = 1

Step 1: Find the prime factorization of 42051

42051 = 3 x 107 x 131

Step 2: Find the prime factorization of 42059

42059 = 137 x 307

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 42051 and 42059 is 1