Greatest Common Factor of 34176 and 34180

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 34176, 34180 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 34176 and 34180 is 4.

GCF(34176,34180) = 4

GCF of 34176 and 34180

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

GCF of:
and

Greatest Common Factor of 34176 and 34180

GCF of 34176 and 34180 is 4

Prime Factorization of 34176


2 34176
2 17088
2 8544
2 4272
2 2136
2 1068
2 534
3 267
89 89
1

Prime factors of 34176 are 2,3,89. Prime factorization of 34176 in exponential form is:

34176 = 27×31×891

Prime Factorization of 34180


2 34180
2 17090
5 8545
1709 1709
1

Prime factors of 34180 are 2,5,1709. Prime factorization of 34180 in exponential form is:

34180 = 22×51×17091

∴ So by taking common prime factors GCF of 34176 and 34180 is 4

Greatest Common Factor of 34176 and 34180 by matching factors method

Factors of 34176

List of positive integer factors of 34176 that divides 34176 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,89,96,128,178,192,267,356,384,534,712,1068,1424,2136,2848,4272,5696,8544,11392,17088,34176

Factors of 34180

List of positive integer factors of 34180 that divides 34180 without a remainder.

1,2,4,5,10,20,1709,3418,6836,8545,17090,34180

Greatest Common Factor

We found the factors and prime factorization of 34176 and 34180. The biggest common factor number is the GCF number.
So the greatest common factor 34176 and 34180 is 4.

Also check out the Least Common Multiple of 34176 and 34180

Properties of GCF 34176 and 34180

(i) The GCF of 34176 and 34180 is associative

GCF of 34176 and 34180 = GCF of 34180 and 34176

Related Greatest Common Factor of 34176

Related Greatest Common Factor of 34180

Frequently Asked Questions on GCF of 34176 and 34180

1. What is the GCF of 34176 and 34180?

Answer: GCF of 34176 and 34180 is 4.

2. What are the Factors of 34176?

Answer: Factors of 34176 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 89, 96, 128, 178, 192, 267, 356, 384, 534, 712, 1068, 1424, 2136, 2848, 4272, 5696, 8544, 11392, 17088, 34176. There are 32 integers that are factors of 34176. The greatest factor of 34176 is 34176.

3. What are the Factors of 34180?

Answer: Factors of 34180 are 1, 2, 4, 5, 10, 20, 1709, 3418, 6836, 8545, 17090, 34180. There are 12 integers that are factors of 34180. The greatest factor of 34180 is 34180.

4. How to Find the GCF of 34176 and 34180?

Answer:

Greatest Common Factor of 34176 and 34180 = 4

Step 1: Find the prime factorization of 34176

34176 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 89

Step 2: Find the prime factorization of 34180

34180 = 2 x 2 x 5 x 1709

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 34176 and 34180 is 4