Greatest Common Factor of 4069 and 4077

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 4069, 4077 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4069 and 4077 is 1.

GCF(4069,4077) = 1

GCF of 4069 and 4077

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

GCF of:
and

Greatest Common Factor of 4069 and 4077

GCF of 4069 and 4077 is 1

Prime Factorization of 4069


13 4069
313 313
1

Prime factors of 4069 are 13,313. Prime factorization of 4069 in exponential form is:

4069 = 131×3131

Prime Factorization of 4077


3 4077
3 1359
3 453
151 151
1

Prime factors of 4077 are 3,151. Prime factorization of 4077 in exponential form is:

4077 = 33×1511

∴ So by taking common prime factors GCF of 4069 and 4077 is 1

Greatest Common Factor of 4069 and 4077 by matching factors method

Factors of 4069

List of positive integer factors of 4069 that divides 4069 without a remainder.

1,13,313,4069

Factors of 4077

List of positive integer factors of 4077 that divides 4077 without a remainder.

1,3,9,27,151,453,1359,4077

Greatest Common Factor

We found the factors and prime factorization of 4069 and 4077. The biggest common factor number is the GCF number.
So the greatest common factor 4069 and 4077 is 1.

Also check out the Least Common Multiple of 4069 and 4077

Properties of GCF 4069 and 4077

(i) The GCF of 4069 and 4077 is associative

GCF of 4069 and 4077 = GCF of 4077 and 4069

Frequently Asked Questions on GCF of 4069 and 4077

1. What is the GCF of 4069 and 4077?

Answer: GCF of 4069 and 4077 is 1.

2. What are the Factors of 4069?

Answer: Factors of 4069 are 1, 13, 313, 4069. There are 4 integers that are factors of 4069. The greatest factor of 4069 is 4069.

3. What are the Factors of 4077?

Answer: Factors of 4077 are 1, 3, 9, 27, 151, 453, 1359, 4077. There are 8 integers that are factors of 4077. The greatest factor of 4077 is 4077.

4. How to Find the GCF of 4069 and 4077?

Answer:

Greatest Common Factor of 4069 and 4077 = 1

Step 1: Find the prime factorization of 4069

4069 = 13 x 313

Step 2: Find the prime factorization of 4077

4077 = 3 x 3 x 3 x 151

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 4069 and 4077 is 1