Greatest Common Factor of 654 and 661

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 654, 661 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 654 and 661 is 1.

GCF(654,661) = 1

GCF of 654 and 661

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

GCF of:
and

Greatest Common Factor of 654 and 661

GCF of 654 and 661 is 1

Prime Factorization of 654


2 654
3 327
109 109
1

Prime factors of 654 are 2,3,109. Prime factorization of 654 in exponential form is:

654 = 21×31×1091

Prime Factorization of 661


661 661
1

Prime factors of 661 are 661. Prime factorization of 661 in exponential form is:

661 = 6611

∴ So by taking common prime factors GCF of 654 and 661 is 1

Greatest Common Factor of 654 and 661 by matching factors method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Greatest Common Factor

We found the factors and prime factorization of 654 and 661. The biggest common factor number is the GCF number.
So the greatest common factor 654 and 661 is 1.

Also check out the Least Common Multiple of 654 and 661

Properties of GCF 654 and 661

(i) The GCF of 654 and 661 is associative

GCF of 654 and 661 = GCF of 661 and 654

Related Greatest Common Factor of 654

Related Greatest Common Factor of 661

Frequently Asked Questions on GCF of 654 and 661

1. What is the GCF of 654 and 661?

Answer: GCF of 654 and 661 is 1.

2. What are the Factors of 654?

Answer: Factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654. There are 8 integers that are factors of 654. The greatest factor of 654 is 654.

3. What are the Factors of 661?

Answer: Factors of 661 are 1, 661. There are 2 integers that are factors of 661. The greatest factor of 661 is 661.

4. How to Find the GCF of 654 and 661?

Answer:

Greatest Common Factor of 654 and 661 = 1

Step 1: Find the prime factorization of 654

654 = 2 x 3 x 109

Step 2: Find the prime factorization of 661

661 = 661

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 654 and 661 is 1