Greatest Common Factor of 8661 and 8662

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 8661, 8662 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8661 and 8662 is 1.

GCF(8661,8662) = 1

GCF of 8661 and 8662

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

GCF of:
and

Greatest Common Factor of 8661 and 8662

GCF of 8661 and 8662 is 1

Prime Factorization of 8661


3 8661
2887 2887
1

Prime factors of 8661 are 3,2887. Prime factorization of 8661 in exponential form is:

8661 = 31×28871

Prime Factorization of 8662


2 8662
61 4331
71 71
1

Prime factors of 8662 are 2,61,71. Prime factorization of 8662 in exponential form is:

8662 = 21×611×711

∴ So by taking common prime factors GCF of 8661 and 8662 is 1

Greatest Common Factor of 8661 and 8662 by matching factors method

Factors of 8661

List of positive integer factors of 8661 that divides 8661 without a remainder.

1,3,2887,8661

Factors of 8662

List of positive integer factors of 8662 that divides 8662 without a remainder.

1,2,61,71,122,142,4331,8662

Greatest Common Factor

We found the factors and prime factorization of 8661 and 8662. The biggest common factor number is the GCF number.
So the greatest common factor 8661 and 8662 is 1.

Also check out the Least Common Multiple of 8661 and 8662

Properties of GCF 8661 and 8662

(i) The GCF of 8661 and 8662 is associative

GCF of 8661 and 8662 = GCF of 8662 and 8661

Frequently Asked Questions on GCF of 8661 and 8662

1. What is the GCF of 8661 and 8662?

Answer: GCF of 8661 and 8662 is 1.

2. What are the Factors of 8661?

Answer: Factors of 8661 are 1, 3, 2887, 8661. There are 4 integers that are factors of 8661. The greatest factor of 8661 is 8661.

3. What are the Factors of 8662?

Answer: Factors of 8662 are 1, 2, 61, 71, 122, 142, 4331, 8662. There are 8 integers that are factors of 8662. The greatest factor of 8662 is 8662.

4. How to Find the GCF of 8661 and 8662?

Answer:

Greatest Common Factor of 8661 and 8662 = 1

Step 1: Find the prime factorization of 8661

8661 = 3 x 2887

Step 2: Find the prime factorization of 8662

8662 = 2 x 61 x 71

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 8661 and 8662 is 1