Greatest Common Factor of 307444 and 307452

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, 307452 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 307444 and 307452 is 4.

GCF(307444,307452) = 4

GCF of 307444 and 307452

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

GCF of:
and

Greatest Common Factor of 307444 and 307452

GCF of 307444 and 307452 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 307452


2 307452
2 153726
3 76863
25621 25621
1

Prime factors of 307452 are 2,3,25621. Prime factorization of 307452 in exponential form is:

307452 = 22×31×256211

∴ So by taking common prime factors GCF of 307444 and 307452 is 4

Greatest Common Factor of 307444 and 307452 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 307452

List of positive integer factors of 307452 that divides 307452 without a remainder.

1,2,3,4,6,12,25621,51242,76863,102484,153726,307452

Greatest Common Factor

We found the factors and prime factorization of 307444 and 307452. The biggest common factor number is the GCF number.
So the greatest common factor 307444 and 307452 is 4.

Also check out the Least Common Multiple of 307444 and 307452

Properties of GCF 307444 and 307452

(i) The GCF of 307444 and 307452 is associative

GCF of 307444 and 307452 = GCF of 307452 and 307444

Frequently Asked Questions on GCF of 307444 and 307452

1. What is the GCF of 307444 and 307452?

Answer: GCF of 307444 and 307452 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 307452?

Answer: Factors of 307452 are 1, 2, 3, 4, 6, 12, 25621, 51242, 76863, 102484, 153726, 307452. There are 12 integers that are factors of 307452. The greatest factor of 307452 is 307452.

4. How to Find the GCF of 307444 and 307452?

Answer:

Greatest Common Factor of 307444 and 307452 = 4

Step 1: Find the prime factorization of 307444

307444 = 2 x 2 x 101 x 761

Step 2: Find the prime factorization of 307452

307452 = 2 x 2 x 3 x 25621

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 307452 is 4