Greatest Common Factor of 8461 and 8468

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 8461, 8468 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8461 and 8468 is 1.

GCF(8461,8468) = 1

GCF of 8461 and 8468

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

GCF of:
and

Greatest Common Factor of 8461 and 8468

GCF of 8461 and 8468 is 1

Prime Factorization of 8461


8461 8461
1

Prime factors of 8461 are 8461. Prime factorization of 8461 in exponential form is:

8461 = 84611

Prime Factorization of 8468


2 8468
2 4234
29 2117
73 73
1

Prime factors of 8468 are 2.Prime factorization of 8468 in exponential form is:

8468 = 22×291×731

∴ So by taking common prime factors GCF of 8461 and 8468 is 1

Greatest Common Factor of 8461 and 8468 by matching factors method

Factors of 8461

List of positive integer factors of 8461 that divides 8461 without a remainder.

1,8461

Factors of 8468

List of positive integer factors of 8468 that divides 8468 without a remainder.

1,2,4,29,58,73,116,146,292,2117,4234,8468

Greatest Common Factor

We found the factors and prime factorization of 8461 and 8468. The biggest common factor number is the GCF number.
So the greatest common factor 8461 and 8468 is 1.

Also check out the Least Common Multiple of 8461 and 8468

Properties of GCF 8461 and 8468

(i) The GCF of 8461 and 8468 is associative

GCF of 8461 and 8468 = GCF of 8468 and 8461

Frequently Asked Questions on GCF of 8461 and 8468

1. What is the GCF of 8461 and 8468?

Answer: GCF of 8461 and 8468 is 1.

2. What are the Factors of 8461?

Answer: Factors of 8461 are 1, 8461. There are 2 integers that are factors of 8461. The greatest factor of 8461 is 8461.

3. What are the Factors of 8468?

Answer: Factors of 8468 are 1, 2, 4, 29, 58, 73, 116, 146, 292, 2117, 4234, 8468. There are 12 integers that are factors of 8468. The greatest factor of 8468 is 8468.

4. How to Find the GCF of 8461 and 8468?

Answer:

Greatest Common Factor of 8461 and 8468 = 1

Step 1: Find the prime factorization of 8461

8461 = 8461

Step 2: Find the prime factorization of 8468

8468 = 2 x 2 x 29 x 73

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 8461 and 8468 is 1