Greatest Common Factor of 307438 and 307442

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, 307442 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 307438 and 307442 is 2.

GCF(307438,307442) = 2

GCF of 307438 and 307442

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

GCF of:
and

Greatest Common Factor of 307438 and 307442

GCF of 307438 and 307442 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 307442


2 307442
347 153721
443 443
1

Prime factors of 307442 are 2,347,443. Prime factorization of 307442 in exponential form is:

307442 = 21×3471×4431

∴ So by taking common prime factors GCF of 307438 and 307442 is 2

Greatest Common Factor of 307438 and 307442 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 307442

List of positive integer factors of 307442 that divides 307442 without a remainder.

1,2,347,443,694,886,153721,307442

Greatest Common Factor

We found the factors and prime factorization of 307438 and 307442. The biggest common factor number is the GCF number.
So the greatest common factor 307438 and 307442 is 2.

Also check out the Least Common Multiple of 307438 and 307442

Properties of GCF 307438 and 307442

(i) The GCF of 307438 and 307442 is associative

GCF of 307438 and 307442 = GCF of 307442 and 307438

Related Greatest Common Factor of 307438

Related Greatest Common Factor of 307442

Frequently Asked Questions on GCF of 307438 and 307442

1. What is the GCF of 307438 and 307442?

Answer: GCF of 307438 and 307442 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 307442?

Answer: Factors of 307442 are 1, 2, 347, 443, 694, 886, 153721, 307442. There are 8 integers that are factors of 307442. The greatest factor of 307442 is 307442.

4. How to Find the GCF of 307438 and 307442?

Answer:

Greatest Common Factor of 307438 and 307442 = 2

Step 1: Find the prime factorization of 307438

307438 = 2 x 153719

Step 2: Find the prime factorization of 307442

307442 = 2 x 347 x 443

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 307442 is 2