Greatest Common Factor of 4636 and 4642

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 4636, 4642 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4636 and 4642 is 2.

GCF(4636,4642) = 2

GCF of 4636 and 4642

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

GCF of:
and

Greatest Common Factor of 4636 and 4642

GCF of 4636 and 4642 is 2

Prime Factorization of 4636


2 4636
2 2318
19 1159
61 61
1

Prime factors of 4636 are 2,19,61. Prime factorization of 4636 in exponential form is:

4636 = 22×191×611

Prime Factorization of 4642


2 4642
11 2321
211 211
1

Prime factors of 4642 are 2,11,211. Prime factorization of 4642 in exponential form is:

4642 = 21×111×2111

∴ So by taking common prime factors GCF of 4636 and 4642 is 2

Greatest Common Factor of 4636 and 4642 by matching factors method

Factors of 4636

List of positive integer factors of 4636 that divides 4636 without a remainder.

1,2,4,19,38,61,76,122,244,1159,2318,4636

Factors of 4642

List of positive integer factors of 4642 that divides 4642 without a remainder.

1,2,11,22,211,422,2321,4642

Greatest Common Factor

We found the factors and prime factorization of 4636 and 4642. The biggest common factor number is the GCF number.
So the greatest common factor 4636 and 4642 is 2.

Also check out the Least Common Multiple of 4636 and 4642

Properties of GCF 4636 and 4642

(i) The GCF of 4636 and 4642 is associative

GCF of 4636 and 4642 = GCF of 4642 and 4636

Related Greatest Common Factor of 4636

Related Greatest Common Factor of 4642

Frequently Asked Questions on GCF of 4636 and 4642

1. What is the GCF of 4636 and 4642?

Answer: GCF of 4636 and 4642 is 2.

2. What are the Factors of 4636?

Answer: Factors of 4636 are 1, 2, 4, 19, 38, 61, 76, 122, 244, 1159, 2318, 4636. There are 12 integers that are factors of 4636. The greatest factor of 4636 is 4636.

3. What are the Factors of 4642?

Answer: Factors of 4642 are 1, 2, 11, 22, 211, 422, 2321, 4642. There are 8 integers that are factors of 4642. The greatest factor of 4642 is 4642.

4. How to Find the GCF of 4636 and 4642?

Answer:

Greatest Common Factor of 4636 and 4642 = 2

Step 1: Find the prime factorization of 4636

4636 = 2 x 2 x 19 x 61

Step 2: Find the prime factorization of 4642

4642 = 2 x 11 x 211

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 4636 and 4642 is 2