Greatest Common Factor of 307438 and 307444

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 307438, 307444 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 307438 and 307444 is 2.

GCF(307438,307444) = 2

GCF of 307438 and 307444

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

GCF of:
and

Greatest Common Factor of 307438 and 307444

GCF of 307438 and 307444 is 2

Prime Factorization of 307438


2 307438
153719 153719
1

Prime factors of 307438 are 2,153719. Prime factorization of 307438 in exponential form is:

307438 = 21×1537191

Prime Factorization of 307444


2 307444
2 153722
101 76861
761 761
1

Prime factors of 307444 are 2,101,761. Prime factorization of 307444 in exponential form is:

307444 = 22×1011×7611

∴ So by taking common prime factors GCF of 307438 and 307444 is 2

Greatest Common Factor of 307438 and 307444 by matching factors method

Factors of 307438

List of positive integer factors of 307438 that divides 307438 without a remainder.

1,2,153719,307438

Factors of 307444

List of positive integer factors of 307444 that divides 307444 without a remainder.

1,2,4,101,202,404,761,1522,3044,76861,153722,307444

Greatest Common Factor

We found the factors and prime factorization of 307438 and 307444. The biggest common factor number is the GCF number.
So the greatest common factor 307438 and 307444 is 2.

Also check out the Least Common Multiple of 307438 and 307444

Properties of GCF 307438 and 307444

(i) The GCF of 307438 and 307444 is associative

GCF of 307438 and 307444 = GCF of 307444 and 307438

Frequently Asked Questions on GCF of 307438 and 307444

1. What is the GCF of 307438 and 307444?

Answer: GCF of 307438 and 307444 is 2.

2. What are the Factors of 307438?

Answer: Factors of 307438 are 1, 2, 153719, 307438. There are 4 integers that are factors of 307438. The greatest factor of 307438 is 307438.

3. What are the Factors of 307444?

Answer: Factors of 307444 are 1, 2, 4, 101, 202, 404, 761, 1522, 3044, 76861, 153722, 307444. There are 12 integers that are factors of 307444. The greatest factor of 307444 is 307444.

4. How to Find the GCF of 307438 and 307444?

Answer:

Greatest Common Factor of 307438 and 307444 = 2

Step 1: Find the prime factorization of 307438

307438 = 2 x 153719

Step 2: Find the prime factorization of 307444

307444 = 2 x 2 x 101 x 761

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 307438 and 307444 is 2