Greatest Common Factor of 3064 and 3068

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 3064, 3068 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3064 and 3068 is 4.

GCF(3064,3068) = 4

GCF of 3064 and 3068

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

GCF of:
and

Greatest Common Factor of 3064 and 3068

GCF of 3064 and 3068 is 4

Prime Factorization of 3064


2 3064
2 1532
2 766
383 383
1

Prime factors of 3064 are 2,383. Prime factorization of 3064 in exponential form is:

3064 = 23×3831

Prime Factorization of 3068


2 3068
2 1534
13 767
59 59
1

Prime factors of 3068 are 2,13,59. Prime factorization of 3068 in exponential form is:

3068 = 22×131×591

∴ So by taking common prime factors GCF of 3064 and 3068 is 4

Greatest Common Factor of 3064 and 3068 by matching factors method

Factors of 3064

List of positive integer factors of 3064 that divides 3064 without a remainder.

1,2,4,8,383,766,1532,3064

Factors of 3068

List of positive integer factors of 3068 that divides 3068 without a remainder.

1,2,4,13,26,52,59,118,236,767,1534,3068

Greatest Common Factor

We found the factors and prime factorization of 3064 and 3068. The biggest common factor number is the GCF number.
So the greatest common factor 3064 and 3068 is 4.

Also check out the Least Common Multiple of 3064 and 3068

Properties of GCF 3064 and 3068

(i) The GCF of 3064 and 3068 is associative

GCF of 3064 and 3068 = GCF of 3068 and 3064

Related Greatest Common Factor of 3064

Related Greatest Common Factor of 3068

Frequently Asked Questions on GCF of 3064 and 3068

1. What is the GCF of 3064 and 3068?

Answer: GCF of 3064 and 3068 is 4.

2. What are the Factors of 3064?

Answer: Factors of 3064 are 1, 2, 4, 8, 383, 766, 1532, 3064. There are 8 integers that are factors of 3064. The greatest factor of 3064 is 3064.

3. What are the Factors of 3068?

Answer: Factors of 3068 are 1, 2, 4, 13, 26, 52, 59, 118, 236, 767, 1534, 3068. There are 12 integers that are factors of 3068. The greatest factor of 3068 is 3068.

4. How to Find the GCF of 3064 and 3068?

Answer:

Greatest Common Factor of 3064 and 3068 = 4

Step 1: Find the prime factorization of 3064

3064 = 2 x 2 x 2 x 383

Step 2: Find the prime factorization of 3068

3068 = 2 x 2 x 13 x 59

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3064 and 3068 is 4