Greatest Common Factor of 3460 and 3462

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 3460, 3462 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3460 and 3462 is 2.

GCF(3460,3462) = 2

GCF of 3460 and 3462

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

GCF of:
and

Greatest Common Factor of 3460 and 3462

GCF of 3460 and 3462 is 2

Prime Factorization of 3460


2 3460
2 1730
5 865
173 173
1

Prime factors of 3460 are 2,5,173. Prime factorization of 3460 in exponential form is:

3460 = 22×51×1731

Prime Factorization of 3462


2 3462
3 1731
577 577
1

Prime factors of 3462 are 2,3,577. Prime factorization of 3462 in exponential form is:

3462 = 21×31×5771

∴ So by taking common prime factors GCF of 3460 and 3462 is 2

Greatest Common Factor of 3460 and 3462 by matching factors method

Factors of 3460

List of positive integer factors of 3460 that divides 3460 without a remainder.

1,2,4,5,10,20,173,346,692,865,1730,3460

Factors of 3462

List of positive integer factors of 3462 that divides 3462 without a remainder.

1,2,3,6,577,1154,1731,3462

Greatest Common Factor

We found the factors and prime factorization of 3460 and 3462. The biggest common factor number is the GCF number.
So the greatest common factor 3460 and 3462 is 2.

Also check out the Least Common Multiple of 3460 and 3462

Properties of GCF 3460 and 3462

(i) The GCF of 3460 and 3462 is associative

GCF of 3460 and 3462 = GCF of 3462 and 3460

Related Greatest Common Factor of 3460

Related Greatest Common Factor of 3462

Frequently Asked Questions on GCF of 3460 and 3462

1. What is the GCF of 3460 and 3462?

Answer: GCF of 3460 and 3462 is 2.

2. What are the Factors of 3460?

Answer: Factors of 3460 are 1, 2, 4, 5, 10, 20, 173, 346, 692, 865, 1730, 3460. There are 12 integers that are factors of 3460. The greatest factor of 3460 is 3460.

3. What are the Factors of 3462?

Answer: Factors of 3462 are 1, 2, 3, 6, 577, 1154, 1731, 3462. There are 8 integers that are factors of 3462. The greatest factor of 3462 is 3462.

4. How to Find the GCF of 3460 and 3462?

Answer:

Greatest Common Factor of 3460 and 3462 = 2

Step 1: Find the prime factorization of 3460

3460 = 2 x 2 x 5 x 173

Step 2: Find the prime factorization of 3462

3462 = 2 x 3 x 577

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 3460 and 3462 is 2