Greatest Common Factor of 307402 and 307410

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 307402, 307410 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 307402 and 307410 is 2.

GCF(307402,307410) = 2

GCF of 307402 and 307410

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

GCF of:
and

Greatest Common Factor of 307402 and 307410

GCF of 307402 and 307410 is 2

Prime Factorization of 307402


2 307402
153701 153701
1

Prime factors of 307402 are 2,153701. Prime factorization of 307402 in exponential form is:

307402 = 21×1537011

Prime Factorization of 307410


2 307410
3 153705
5 51235
10247 10247
1

Prime factors of 307410 are 2,3,5,10247. Prime factorization of 307410 in exponential form is:

307410 = 21×31×51×102471

∴ So by taking common prime factors GCF of 307402 and 307410 is 2

Greatest Common Factor of 307402 and 307410 by matching factors method

Factors of 307402

List of positive integer factors of 307402 that divides 307402 without a remainder.

1,2,153701,307402

Factors of 307410

List of positive integer factors of 307410 that divides 307410 without a remainder.

1,2,3,5,6,10,15,30,10247,20494,30741,51235,61482,102470,153705,307410

Greatest Common Factor

We found the factors and prime factorization of 307402 and 307410. The biggest common factor number is the GCF number.
So the greatest common factor 307402 and 307410 is 2.

Also check out the Least Common Multiple of 307402 and 307410

Properties of GCF 307402 and 307410

(i) The GCF of 307402 and 307410 is associative

GCF of 307402 and 307410 = GCF of 307410 and 307402

Frequently Asked Questions on GCF of 307402 and 307410

1. What is the GCF of 307402 and 307410?

Answer: GCF of 307402 and 307410 is 2.

2. What are the Factors of 307402?

Answer: Factors of 307402 are 1, 2, 153701, 307402. There are 4 integers that are factors of 307402. The greatest factor of 307402 is 307402.

3. What are the Factors of 307410?

Answer: Factors of 307410 are 1, 2, 3, 5, 6, 10, 15, 30, 10247, 20494, 30741, 51235, 61482, 102470, 153705, 307410. There are 16 integers that are factors of 307410. The greatest factor of 307410 is 307410.

4. How to Find the GCF of 307402 and 307410?

Answer:

Greatest Common Factor of 307402 and 307410 = 2

Step 1: Find the prime factorization of 307402

307402 = 2 x 153701

Step 2: Find the prime factorization of 307410

307410 = 2 x 3 x 5 x 10247

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 307402 and 307410 is 2