Greatest Common Factor of 307444 and 307448

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 307444, 307448 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 307444 and 307448 is 4.

GCF(307444,307448) = 4

GCF of 307444 and 307448

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

GCF of:
and

Greatest Common Factor of 307444 and 307448

GCF of 307444 and 307448 is 4

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

Prime Factorization of 307448


2 307448
2 153724
2 76862
38431 38431
1

Prime factors of 307448 are 2,38431. Prime factorization of 307448 in exponential form is:

307448 = 23×384311

∴ So by taking common prime factors GCF of 307444 and 307448 is 4

Greatest Common Factor of 307444 and 307448 by matching factors method

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

Factors of 307448

List of positive integer factors of 307448 that divides 307448 without a remainder.

1,2,4,8,38431,76862,153724,307448

Greatest Common Factor

We found the factors and prime factorization of 307444 and 307448. The biggest common factor number is the GCF number.
So the greatest common factor 307444 and 307448 is 4.

Also check out the Least Common Multiple of 307444 and 307448

Properties of GCF 307444 and 307448

(i) The GCF of 307444 and 307448 is associative

GCF of 307444 and 307448 = GCF of 307448 and 307444

Related Greatest Common Factor of 307444

Related Greatest Common Factor of 307448

Frequently Asked Questions on GCF of 307444 and 307448

1. What is the GCF of 307444 and 307448?

Answer: GCF of 307444 and 307448 is 4.

2. 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.

3. What are the Factors of 307448?

Answer: Factors of 307448 are 1, 2, 4, 8, 38431, 76862, 153724, 307448. There are 8 integers that are factors of 307448. The greatest factor of 307448 is 307448.

4. How to Find the GCF of 307444 and 307448?

Answer:

Greatest Common Factor of 307444 and 307448 = 4

Step 1: Find the prime factorization of 307444

307444 = 2 x 2 x 101 x 761

Step 2: Find the prime factorization of 307448

307448 = 2 x 2 x 2 x 38431

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 307444 and 307448 is 4