Greatest Common Factor of 42029 and 42033

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 42029, 42033 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42029 and 42033 is 1.

GCF(42029,42033) = 1

GCF of 42029 and 42033

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

GCF of:
and

Greatest Common Factor of 42029 and 42033

GCF of 42029 and 42033 is 1

Prime Factorization of 42029


13 42029
53 3233
61 61
1

Prime factors of 42029 are 13,53,61. Prime factorization of 42029 in exponential form is:

42029 = 131×531×611

Prime Factorization of 42033


3 42033
14011 14011
1

Prime factors of 42033 are 3,14011. Prime factorization of 42033 in exponential form is:

42033 = 31×140111

∴ So by taking common prime factors GCF of 42029 and 42033 is 1

Greatest Common Factor of 42029 and 42033 by matching factors method

Factors of 42029

List of positive integer factors of 42029 that divides 42029 without a remainder.

1,13,53,61,689,793,3233,42029

Factors of 42033

List of positive integer factors of 42033 that divides 42033 without a remainder.

1,3,14011,42033

Greatest Common Factor

We found the factors and prime factorization of 42029 and 42033. The biggest common factor number is the GCF number.
So the greatest common factor 42029 and 42033 is 1.

Also check out the Least Common Multiple of 42029 and 42033

Properties of GCF 42029 and 42033

(i) The GCF of 42029 and 42033 is associative

GCF of 42029 and 42033 = GCF of 42033 and 42029

Related Greatest Common Factor of 42029

Related Greatest Common Factor of 42033

Frequently Asked Questions on GCF of 42029 and 42033

1. What is the GCF of 42029 and 42033?

Answer: GCF of 42029 and 42033 is 1.

2. What are the Factors of 42029?

Answer: Factors of 42029 are 1, 13, 53, 61, 689, 793, 3233, 42029. There are 8 integers that are factors of 42029. The greatest factor of 42029 is 42029.

3. What are the Factors of 42033?

Answer: Factors of 42033 are 1, 3, 14011, 42033. There are 4 integers that are factors of 42033. The greatest factor of 42033 is 42033.

4. How to Find the GCF of 42029 and 42033?

Answer:

Greatest Common Factor of 42029 and 42033 = 1

Step 1: Find the prime factorization of 42029

42029 = 13 x 53 x 61

Step 2: Find the prime factorization of 42033

42033 = 3 x 14011

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 42029 and 42033 is 1