Greatest Common Factor of 374 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 374, 375 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 374 and 375 is 1.

GCF(374,375) = 1

GCF of 374 and 375

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

GCF of:
and

Greatest Common Factor of 374 and 375

GCF of 374 and 375 is 1

Prime Factorization of 374


2 374
11 187
17 17
1

Prime factors of 374 are 2,11,17. Prime factorization of 374 in exponential form is:

374 = 21×111×171

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 374 and 375 is 1

Greatest Common Factor of 374 and 375 by matching factors method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

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 374 and 375. The biggest common factor number is the GCF number.
So the greatest common factor 374 and 375 is 1.

Also check out the Least Common Multiple of 374 and 375

Properties of GCF 374 and 375

(i) The GCF of 374 and 375 is associative

GCF of 374 and 375 = GCF of 375 and 374

Related Greatest Common Factor of 374

Related Greatest Common Factor of 375

Frequently Asked Questions on GCF of 374 and 375

1. What is the GCF of 374 and 375?

Answer: GCF of 374 and 375 is 1.

2. What are the Factors of 374?

Answer: Factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374. There are 8 integers that are factors of 374. The greatest factor of 374 is 374.

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 374 and 375?

Answer:

Greatest Common Factor of 374 and 375 = 1

Step 1: Find the prime factorization of 374

374 = 2 x 11 x 17

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 = = 1

Step 4: Therefore, the greatest common factor of 374 and 375 is 1