Greatest Common Factor of 4606 and 4612

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 4606, 4612 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4606 and 4612 is 2.

GCF(4606,4612) = 2

GCF of 4606 and 4612

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

GCF of:
and

Greatest Common Factor of 4606 and 4612

GCF of 4606 and 4612 is 2

Prime Factorization of 4606


2 4606
7 2303
7 329
47 47
1

Prime factors of 4606 are 2,7,47. Prime factorization of 4606 in exponential form is:

4606 = 21×72×471

Prime Factorization of 4612


2 4612
2 2306
1153 1153
1

Prime factors of 4612 are 2,1153. Prime factorization of 4612 in exponential form is:

4612 = 22×11531

∴ So by taking common prime factors GCF of 4606 and 4612 is 2

Greatest Common Factor of 4606 and 4612 by matching factors method

Factors of 4606

List of positive integer factors of 4606 that divides 4606 without a remainder.

1,2,7,14,47,49,94,98,329,658,2303,4606

Factors of 4612

List of positive integer factors of 4612 that divides 4612 without a remainder.

1,2,4,1153,2306,4612

Greatest Common Factor

We found the factors and prime factorization of 4606 and 4612. The biggest common factor number is the GCF number.
So the greatest common factor 4606 and 4612 is 2.

Also check out the Least Common Multiple of 4606 and 4612

Properties of GCF 4606 and 4612

(i) The GCF of 4606 and 4612 is associative

GCF of 4606 and 4612 = GCF of 4612 and 4606

Related Greatest Common Factor of 4606

Related Greatest Common Factor of 4612

Frequently Asked Questions on GCF of 4606 and 4612

1. What is the GCF of 4606 and 4612?

Answer: GCF of 4606 and 4612 is 2.

2. What are the Factors of 4606?

Answer: Factors of 4606 are 1, 2, 7, 14, 47, 49, 94, 98, 329, 658, 2303, 4606. There are 12 integers that are factors of 4606. The greatest factor of 4606 is 4606.

3. What are the Factors of 4612?

Answer: Factors of 4612 are 1, 2, 4, 1153, 2306, 4612. There are 6 integers that are factors of 4612. The greatest factor of 4612 is 4612.

4. How to Find the GCF of 4606 and 4612?

Answer:

Greatest Common Factor of 4606 and 4612 = 2

Step 1: Find the prime factorization of 4606

4606 = 2 x 7 x 7 x 47

Step 2: Find the prime factorization of 4612

4612 = 2 x 2 x 1153

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 4606 and 4612 is 2