Greatest Common Factor of 4616 and 4622

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 4616, 4622 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4616 and 4622 is 2.

GCF(4616,4622) = 2

GCF of 4616 and 4622

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

GCF of:
and

Greatest Common Factor of 4616 and 4622

GCF of 4616 and 4622 is 2

Prime Factorization of 4616


2 4616
2 2308
2 1154
577 577
1

Prime factors of 4616 are 2,577. Prime factorization of 4616 in exponential form is:

4616 = 23×5771

Prime Factorization of 4622


2 4622
2311 2311
1

Prime factors of 4622 are 2,2311. Prime factorization of 4622 in exponential form is:

4622 = 21×23111

∴ So by taking common prime factors GCF of 4616 and 4622 is 2

Greatest Common Factor of 4616 and 4622 by matching factors method

Factors of 4616

List of positive integer factors of 4616 that divides 4616 without a remainder.

1,2,4,8,577,1154,2308,4616

Factors of 4622

List of positive integer factors of 4622 that divides 4622 without a remainder.

1,2,2311,4622

Greatest Common Factor

We found the factors and prime factorization of 4616 and 4622. The biggest common factor number is the GCF number.
So the greatest common factor 4616 and 4622 is 2.

Also check out the Least Common Multiple of 4616 and 4622

Properties of GCF 4616 and 4622

(i) The GCF of 4616 and 4622 is associative

GCF of 4616 and 4622 = GCF of 4622 and 4616

Related Greatest Common Factor of 4616

Related Greatest Common Factor of 4622

Frequently Asked Questions on GCF of 4616 and 4622

1. What is the GCF of 4616 and 4622?

Answer: GCF of 4616 and 4622 is 2.

2. What are the Factors of 4616?

Answer: Factors of 4616 are 1, 2, 4, 8, 577, 1154, 2308, 4616. There are 8 integers that are factors of 4616. The greatest factor of 4616 is 4616.

3. What are the Factors of 4622?

Answer: Factors of 4622 are 1, 2, 2311, 4622. There are 4 integers that are factors of 4622. The greatest factor of 4622 is 4622.

4. How to Find the GCF of 4616 and 4622?

Answer:

Greatest Common Factor of 4616 and 4622 = 2

Step 1: Find the prime factorization of 4616

4616 = 2 x 2 x 2 x 577

Step 2: Find the prime factorization of 4622

4622 = 2 x 2311

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 4616 and 4622 is 2