Greatest Common Factor of 307420 and 307428

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 307420, 307428 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 307420 and 307428 is 4.

GCF(307420,307428) = 4

GCF of 307420 and 307428

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

GCF of:
and

Greatest Common Factor of 307420 and 307428

GCF of 307420 and 307428 is 4

Prime Factorization of 307420


2 307420
2 153710
5 76855
19 15371
809 809
1

Prime factors of 307420 are 2,5,19,809. Prime factorization of 307420 in exponential form is:

307420 = 22×51×191×8091

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

∴ So by taking common prime factors GCF of 307420 and 307428 is 4

Greatest Common Factor of 307420 and 307428 by matching factors method

Factors of 307420

List of positive integer factors of 307420 that divides 307420 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380,809,1618,3236,4045,8090,15371,16180,30742,61484,76855,153710,307420

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

Greatest Common Factor

We found the factors and prime factorization of 307420 and 307428. The biggest common factor number is the GCF number.
So the greatest common factor 307420 and 307428 is 4.

Also check out the Least Common Multiple of 307420 and 307428

Properties of GCF 307420 and 307428

(i) The GCF of 307420 and 307428 is associative

GCF of 307420 and 307428 = GCF of 307428 and 307420

Related Greatest Common Factor of 307420

Related Greatest Common Factor of 307428

Frequently Asked Questions on GCF of 307420 and 307428

1. What is the GCF of 307420 and 307428?

Answer: GCF of 307420 and 307428 is 4.

2. What are the Factors of 307420?

Answer: Factors of 307420 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380, 809, 1618, 3236, 4045, 8090, 15371, 16180, 30742, 61484, 76855, 153710, 307420. There are 24 integers that are factors of 307420. The greatest factor of 307420 is 307420.

3. 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.

4. How to Find the GCF of 307420 and 307428?

Answer:

Greatest Common Factor of 307420 and 307428 = 4

Step 1: Find the prime factorization of 307420

307420 = 2 x 2 x 5 x 19 x 809

Step 2: Find the prime factorization of 307428

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

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 307420 and 307428 is 4