Greatest Common Factor of 4704 and 4712

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 4704, 4712 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4704 and 4712 is 8.

GCF(4704,4712) = 8

GCF of 4704 and 4712

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

GCF of:
and

Greatest Common Factor of 4704 and 4712

GCF of 4704 and 4712 is 8

Prime Factorization of 4704


2 4704
2 2352
2 1176
2 588
2 294
3 147
7 49
7 7
1

Prime factors of 4704 are 2,3,7. Prime factorization of 4704 in exponential form is:

4704 = 25×31×72

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

∴ So by taking common prime factors GCF of 4704 and 4712 is 8

Greatest Common Factor of 4704 and 4712 by matching factors method

Factors of 4704

List of positive integer factors of 4704 that divides 4704 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,84,96,98,112,147,168,196,224,294,336,392,588,672,784,1176,1568,2352,4704

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

Greatest Common Factor

We found the factors and prime factorization of 4704 and 4712. The biggest common factor number is the GCF number.
So the greatest common factor 4704 and 4712 is 8.

Also check out the Least Common Multiple of 4704 and 4712

Properties of GCF 4704 and 4712

(i) The GCF of 4704 and 4712 is associative

GCF of 4704 and 4712 = GCF of 4712 and 4704

Related Greatest Common Factor of 4704

Related Greatest Common Factor of 4712

Frequently Asked Questions on GCF of 4704 and 4712

1. What is the GCF of 4704 and 4712?

Answer: GCF of 4704 and 4712 is 8.

2. What are the Factors of 4704?

Answer: Factors of 4704 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352, 4704. There are 36 integers that are factors of 4704. The greatest factor of 4704 is 4704.

3. 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.

4. How to Find the GCF of 4704 and 4712?

Answer:

Greatest Common Factor of 4704 and 4712 = 8

Step 1: Find the prime factorization of 4704

4704 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7

Step 2: Find the prime factorization of 4712

4712 = 2 x 2 x 2 x 19 x 31

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4704 and 4712 is 8