Greatest Common Factor of 611 and 616

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 611, 616 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 611 and 616 is 1.

GCF(611,616) = 1

GCF of 611 and 616

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

GCF of:
and

Greatest Common Factor of 611 and 616

GCF of 611 and 616 is 1

Prime Factorization of 611


13 611
47 47
1

Prime factors of 611 are 13,47. Prime factorization of 611 in exponential form is:

611 = 131×471

Prime Factorization of 616


2 616
2 308
2 154
7 77
11 11
1

Prime factors of 616 are 2,7,11. Prime factorization of 616 in exponential form is:

616 = 23×71×111

∴ So by taking common prime factors GCF of 611 and 616 is 1

Greatest Common Factor of 611 and 616 by matching factors method

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors and prime factorization of 611 and 616. The biggest common factor number is the GCF number.
So the greatest common factor 611 and 616 is 1.

Also check out the Least Common Multiple of 611 and 616

Properties of GCF 611 and 616

(i) The GCF of 611 and 616 is associative

GCF of 611 and 616 = GCF of 616 and 611

Frequently Asked Questions on GCF of 611 and 616

1. What is the GCF of 611 and 616?

Answer: GCF of 611 and 616 is 1.

2. What are the Factors of 611?

Answer: Factors of 611 are 1, 13, 47, 611. There are 4 integers that are factors of 611. The greatest factor of 611 is 611.

3. What are the Factors of 616?

Answer: Factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616. There are 16 integers that are factors of 616. The greatest factor of 616 is 616.

4. How to Find the GCF of 611 and 616?

Answer:

Greatest Common Factor of 611 and 616 = 1

Step 1: Find the prime factorization of 611

611 = 13 x 47

Step 2: Find the prime factorization of 616

616 = 2 x 2 x 2 x 7 x 11

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 611 and 616 is 1