Greatest Common Factor of 307424 and 307430

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 307424, 307430 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 307424 and 307430 is 2.

GCF(307424,307430) = 2

GCF of 307424 and 307430

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

GCF of:
and

Greatest Common Factor of 307424 and 307430

GCF of 307424 and 307430 is 2

Prime Factorization of 307424


2 307424
2 153712
2 76856
2 38428
2 19214
13 9607
739 739
1

Prime factors of 307424 are 2,13,739. Prime factorization of 307424 in exponential form is:

307424 = 25×131×7391

Prime Factorization of 307430


2 307430
5 153715
71 30743
433 433
1

Prime factors of 307430 are 2,5,71,433. Prime factorization of 307430 in exponential form is:

307430 = 21×51×711×4331

∴ So by taking common prime factors GCF of 307424 and 307430 is 2

Greatest Common Factor of 307424 and 307430 by matching factors method

Factors of 307424

List of positive integer factors of 307424 that divides 307424 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416,739,1478,2956,5912,9607,11824,19214,23648,38428,76856,153712,307424

Factors of 307430

List of positive integer factors of 307430 that divides 307430 without a remainder.

1,2,5,10,71,142,355,433,710,866,2165,4330,30743,61486,153715,307430

Greatest Common Factor

We found the factors and prime factorization of 307424 and 307430. The biggest common factor number is the GCF number.
So the greatest common factor 307424 and 307430 is 2.

Also check out the Least Common Multiple of 307424 and 307430

Properties of GCF 307424 and 307430

(i) The GCF of 307424 and 307430 is associative

GCF of 307424 and 307430 = GCF of 307430 and 307424

Related Greatest Common Factor of 307424

Related Greatest Common Factor of 307430

Frequently Asked Questions on GCF of 307424 and 307430

1. What is the GCF of 307424 and 307430?

Answer: GCF of 307424 and 307430 is 2.

2. What are the Factors of 307424?

Answer: Factors of 307424 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416, 739, 1478, 2956, 5912, 9607, 11824, 19214, 23648, 38428, 76856, 153712, 307424. There are 24 integers that are factors of 307424. The greatest factor of 307424 is 307424.

3. What are the Factors of 307430?

Answer: Factors of 307430 are 1, 2, 5, 10, 71, 142, 355, 433, 710, 866, 2165, 4330, 30743, 61486, 153715, 307430. There are 16 integers that are factors of 307430. The greatest factor of 307430 is 307430.

4. How to Find the GCF of 307424 and 307430?

Answer:

Greatest Common Factor of 307424 and 307430 = 2

Step 1: Find the prime factorization of 307424

307424 = 2 x 2 x 2 x 2 x 2 x 13 x 739

Step 2: Find the prime factorization of 307430

307430 = 2 x 5 x 71 x 433

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 307424 and 307430 is 2