Greatest Common Factor of 307432 and 307436

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 307432, 307436 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 307432 and 307436 is 4.

GCF(307432,307436) = 4

GCF of 307432 and 307436

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

GCF of:
and

Greatest Common Factor of 307432 and 307436

GCF of 307432 and 307436 is 4

Prime Factorization of 307432


2 307432
2 153716
2 76858
83 38429
463 463
1

Prime factors of 307432 are 2,83,463. Prime factorization of 307432 in exponential form is:

307432 = 23×831×4631

Prime Factorization of 307436


2 307436
2 153718
151 76859
509 509
1

Prime factors of 307436 are 2,151,509. Prime factorization of 307436 in exponential form is:

307436 = 22×1511×5091

∴ So by taking common prime factors GCF of 307432 and 307436 is 4

Greatest Common Factor of 307432 and 307436 by matching factors method

Factors of 307432

List of positive integer factors of 307432 that divides 307432 without a remainder.

1,2,4,8,83,166,332,463,664,926,1852,3704,38429,76858,153716,307432

Factors of 307436

List of positive integer factors of 307436 that divides 307436 without a remainder.

1,2,4,151,302,509,604,1018,2036,76859,153718,307436

Greatest Common Factor

We found the factors and prime factorization of 307432 and 307436. The biggest common factor number is the GCF number.
So the greatest common factor 307432 and 307436 is 4.

Also check out the Least Common Multiple of 307432 and 307436

Properties of GCF 307432 and 307436

(i) The GCF of 307432 and 307436 is associative

GCF of 307432 and 307436 = GCF of 307436 and 307432

Frequently Asked Questions on GCF of 307432 and 307436

1. What is the GCF of 307432 and 307436?

Answer: GCF of 307432 and 307436 is 4.

2. What are the Factors of 307432?

Answer: Factors of 307432 are 1, 2, 4, 8, 83, 166, 332, 463, 664, 926, 1852, 3704, 38429, 76858, 153716, 307432. There are 16 integers that are factors of 307432. The greatest factor of 307432 is 307432.

3. What are the Factors of 307436?

Answer: Factors of 307436 are 1, 2, 4, 151, 302, 509, 604, 1018, 2036, 76859, 153718, 307436. There are 12 integers that are factors of 307436. The greatest factor of 307436 is 307436.

4. How to Find the GCF of 307432 and 307436?

Answer:

Greatest Common Factor of 307432 and 307436 = 4

Step 1: Find the prime factorization of 307432

307432 = 2 x 2 x 2 x 83 x 463

Step 2: Find the prime factorization of 307436

307436 = 2 x 2 x 151 x 509

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 307432 and 307436 is 4