Greatest Common Factor of 307428 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 307428, 307436 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 307428 and 307436 is 4.

GCF(307428,307436) = 4

GCF of 307428 and 307436

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

GCF of:
and

Greatest Common Factor of 307428 and 307436

GCF of 307428 and 307436 is 4

Prime Factorization of 307428


2 307428
2 153714
3 76857
11 25619
17 2329
137 137
1

Prime factors of 307428 are 2,3,11,17,137. Prime factorization of 307428 in exponential form is:

307428 = 22×31×111×171×1371

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 307428 and 307436 is 4

Greatest Common Factor of 307428 and 307436 by matching factors method

Factors of 307428

List of positive integer factors of 307428 that divides 307428 without a remainder.

1,2,3,4,6,11,12,17,22,33,34,44,51,66,68,102,132,137,187,204,274,374,411,548,561,748,822,1122,1507,1644,2244,2329,3014,4521,4658,6028,6987,9042,9316,13974,18084,25619,27948,51238,76857,102476,153714,307428

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 307428 and 307436. The biggest common factor number is the GCF number.
So the greatest common factor 307428 and 307436 is 4.

Also check out the Least Common Multiple of 307428 and 307436

Properties of GCF 307428 and 307436

(i) The GCF of 307428 and 307436 is associative

GCF of 307428 and 307436 = GCF of 307436 and 307428

Related Greatest Common Factor of 307428

Related Greatest Common Factor of 307436

Frequently Asked Questions on GCF of 307428 and 307436

1. What is the GCF of 307428 and 307436?

Answer: GCF of 307428 and 307436 is 4.

2. What are the Factors of 307428?

Answer: Factors of 307428 are 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 137, 187, 204, 274, 374, 411, 548, 561, 748, 822, 1122, 1507, 1644, 2244, 2329, 3014, 4521, 4658, 6028, 6987, 9042, 9316, 13974, 18084, 25619, 27948, 51238, 76857, 102476, 153714, 307428. There are 48 integers that are factors of 307428. The greatest factor of 307428 is 307428.

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 307428 and 307436?

Answer:

Greatest Common Factor of 307428 and 307436 = 4

Step 1: Find the prime factorization of 307428

307428 = 2 x 2 x 3 x 11 x 17 x 137

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 307428 and 307436 is 4