Greatest Common Factor of 4712 and 4719

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 4712, 4719 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4712 and 4719 is 1.

GCF(4712,4719) = 1

GCF of 4712 and 4719

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

GCF of:
and

Greatest Common Factor of 4712 and 4719

GCF of 4712 and 4719 is 1

Prime Factorization of 4712


2 4712
2 2356
2 1178
19 589
31 31
1

Prime factors of 4712 are 2,19,31. Prime factorization of 4712 in exponential form is:

4712 = 23×191×311

Prime Factorization of 4719


3 4719
11 1573
11 143
13 13
1

Prime factors of 4719 are 3,11,13. Prime factorization of 4719 in exponential form is:

4719 = 31×112×131

∴ So by taking common prime factors GCF of 4712 and 4719 is 1

Greatest Common Factor of 4712 and 4719 by matching factors method

Factors of 4712

List of positive integer factors of 4712 that divides 4712 without a remainder.

1,2,4,8,19,31,38,62,76,124,152,248,589,1178,2356,4712

Factors of 4719

List of positive integer factors of 4719 that divides 4719 without a remainder.

1,3,11,13,33,39,121,143,363,429,1573,4719

Greatest Common Factor

We found the factors and prime factorization of 4712 and 4719. The biggest common factor number is the GCF number.
So the greatest common factor 4712 and 4719 is 1.

Also check out the Least Common Multiple of 4712 and 4719

Properties of GCF 4712 and 4719

(i) The GCF of 4712 and 4719 is associative

GCF of 4712 and 4719 = GCF of 4719 and 4712

Related Greatest Common Factor of 4712

Related Greatest Common Factor of 4719

Frequently Asked Questions on GCF of 4712 and 4719

1. What is the GCF of 4712 and 4719?

Answer: GCF of 4712 and 4719 is 1.

2. What are the Factors of 4712?

Answer: Factors of 4712 are 1, 2, 4, 8, 19, 31, 38, 62, 76, 124, 152, 248, 589, 1178, 2356, 4712. There are 16 integers that are factors of 4712. The greatest factor of 4712 is 4712.

3. What are the Factors of 4719?

Answer: Factors of 4719 are 1, 3, 11, 13, 33, 39, 121, 143, 363, 429, 1573, 4719. There are 12 integers that are factors of 4719. The greatest factor of 4719 is 4719.

4. How to Find the GCF of 4712 and 4719?

Answer:

Greatest Common Factor of 4712 and 4719 = 1

Step 1: Find the prime factorization of 4712

4712 = 2 x 2 x 2 x 19 x 31

Step 2: Find the prime factorization of 4719

4719 = 3 x 11 x 11 x 13

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 4712 and 4719 is 1