Greatest Common Factor of 307416 and 307420

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 307416, 307420 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 307416 and 307420 is 4.

GCF(307416,307420) = 4

GCF of 307416 and 307420

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

GCF of:
and

Greatest Common Factor of 307416 and 307420

GCF of 307416 and 307420 is 4

Prime Factorization of 307416


2 307416
2 153708
2 76854
3 38427
12809 12809
1

Prime factors of 307416 are 2,3,12809. Prime factorization of 307416 in exponential form is:

307416 = 23×31×128091

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

∴ So by taking common prime factors GCF of 307416 and 307420 is 4

Greatest Common Factor of 307416 and 307420 by matching factors method

Factors of 307416

List of positive integer factors of 307416 that divides 307416 without a remainder.

1,2,3,4,6,8,12,24,12809,25618,38427,51236,76854,102472,153708,307416

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

Greatest Common Factor

We found the factors and prime factorization of 307416 and 307420. The biggest common factor number is the GCF number.
So the greatest common factor 307416 and 307420 is 4.

Also check out the Least Common Multiple of 307416 and 307420

Properties of GCF 307416 and 307420

(i) The GCF of 307416 and 307420 is associative

GCF of 307416 and 307420 = GCF of 307420 and 307416

Related Greatest Common Factor of 307416

Related Greatest Common Factor of 307420

Frequently Asked Questions on GCF of 307416 and 307420

1. What is the GCF of 307416 and 307420?

Answer: GCF of 307416 and 307420 is 4.

2. What are the Factors of 307416?

Answer: Factors of 307416 are 1, 2, 3, 4, 6, 8, 12, 24, 12809, 25618, 38427, 51236, 76854, 102472, 153708, 307416. There are 16 integers that are factors of 307416. The greatest factor of 307416 is 307416.

3. 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.

4. How to Find the GCF of 307416 and 307420?

Answer:

Greatest Common Factor of 307416 and 307420 = 4

Step 1: Find the prime factorization of 307416

307416 = 2 x 2 x 2 x 3 x 12809

Step 2: Find the prime factorization of 307420

307420 = 2 x 2 x 5 x 19 x 809

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 307416 and 307420 is 4