Greatest Common Factor of 370 and 375

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 370, 375 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 370 and 375 is 5.

GCF(370,375) = 5

GCF of 370 and 375

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

GCF of:
and

Greatest Common Factor of 370 and 375

GCF of 370 and 375 is 5

Prime Factorization of 370


2 370
5 185
37 37
1

Prime factors of 370 are 2,5,37. Prime factorization of 370 in exponential form is:

370 = 21×51×371

Prime Factorization of 375


3 375
5 125
5 25
5 5
1

Prime factors of 375 are 3,5. Prime factorization of 375 in exponential form is:

375 = 31×53

∴ So by taking common prime factors GCF of 370 and 375 is 5

Greatest Common Factor of 370 and 375 by matching factors method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors and prime factorization of 370 and 375. The biggest common factor number is the GCF number.
So the greatest common factor 370 and 375 is 5.

Also check out the Least Common Multiple of 370 and 375

Properties of GCF 370 and 375

(i) The GCF of 370 and 375 is associative

GCF of 370 and 375 = GCF of 375 and 370

Related Greatest Common Factor of 370

Related Greatest Common Factor of 375

Frequently Asked Questions on GCF of 370 and 375

1. What is the GCF of 370 and 375?

Answer: GCF of 370 and 375 is 5.

2. What are the Factors of 370?

Answer: Factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370. There are 8 integers that are factors of 370. The greatest factor of 370 is 370.

3. What are the Factors of 375?

Answer: Factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375. There are 8 integers that are factors of 375. The greatest factor of 375 is 375.

4. How to Find the GCF of 370 and 375?

Answer:

Greatest Common Factor of 370 and 375 = 5

Step 1: Find the prime factorization of 370

370 = 2 x 5 x 37

Step 2: Find the prime factorization of 375

375 = 3 x 5 x 5 x 5

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 370 and 375 is 5